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154136204346012 = 22372834197537637
BaseRepresentation
bin100011000010111110100001…
…101101010000001010011100
3202012202021111002200011200120
4203002332201231100022130
5130200331421303033022
61303453110021554540
744315654555460300
oct4302764155201234
9665667432604616
10154136204346012
1145126885037a49
1215354766b75a50
136800c9ba51415
142a0c336c27d00
1512c4682c9cd5c
hex8c2fa1b5029c

154136204346012 has 144 divisors (see below), whose sum is σ = 424420878349440. Its totient is φ = 43404481938048.

The previous prime is 154136204345989. The next prime is 154136204346013. The reversal of 154136204346012 is 210643402631451.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154136204346013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16680058 + ... + 24217694.

It is an arithmetic number, because the mean of its divisors is an integer number (2947367210760).

Almost surely, 2154136204346012 is an apocalyptic number.

154136204346012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154136204346012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212210439174720).

154136204346012 is an abundant number, since it is smaller than the sum of its proper divisors (270284674003428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

154136204346012 is a wasteful number, since it uses less digits than its factorization.

154136204346012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538160 (or 7538151 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 154136204346012 its reverse (210643402631451), we get a palindrome (364779606977463).

The spelling of 154136204346012 in words is "one hundred fifty-four trillion, one hundred thirty-six billion, two hundred four million, three hundred forty-six thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 147 166 196 249 294 332 419 498 581 588 838 996 1162 1257 1676 1743 2324 2514 2933 3486 4067 5028 5866 6972 8134 8799 11732 12201 16268 17598 20531 24402 34777 35196 41062 48804 61593 69554 82124 104331 123186 139108 208662 243439 246372 417324 486878 730317 973756 1460634 1704073 2921268 3408146 5112219 6816292 7537637 10224438 15075274 20448876 22612911 30150548 45225822 52763459 90451644 105526918 158290377 211053836 316580754 369344213 625623871 633161508 738688426 1108032639 1251247742 1477376852 1876871613 2216065278 2502495484 3158269903 3753743226 4379367097 4432130556 6316539806 7507486452 8758734194 9474809709 12633079612 13138101291 17517468388 18949619418 22107889321 26276202582 30655569679 37899238836 44215778642 52552405164 61311139358 66323667963 88431557284 91966709037 122622278716 132647335926 154755225247 183933418074 262136401949 265294671852 309510450494 367866836148 464265675741 524272803898 619020900988 786409205847 928531351482 1048545607796 1572818411694 1834954813643 1857062702964 3145636823388 3669909627286 5504864440929 7339819254572 11009728881858 12844683695501 22019457763716 25689367391002 38534051086503 51378734782004 77068102173006 154136204346012