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154135044 = 223273761271
BaseRepresentation
bin10010010111111…
…10101000000100
3101202000212112100
421023332220010
5303424310134
623143352100
73551061210
oct1113765004
9352025470
10154135044
117a006a38
1243752630
1325c1908b
1416683940
15d7e9999
hex92fea04

154135044 has 144 divisors (see below), whose sum is σ = 466525696. Its totient is φ = 41990400.

The previous prime is 154135027. The next prime is 154135097. The reversal of 154135044 is 440531451.

It is a happy number.

154135044 is a `hidden beast` number, since 154 + 1 + 3 + 504 + 4 = 666.

It is a super-2 number, since 2×1541350442 = 47515223577763872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 154134999 and 154135017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568629 + ... + 568899.

Almost surely, 2154135044 is an apocalyptic number.

154135044 is a gapful number since it is divisible by the number (14) 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 154135044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233262848).

154135044 is an abundant number, since it is smaller than the sum of its proper divisors (312390652).

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

154135044 is a wasteful number, since it uses less digits than its factorization.

154135044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 154135044 is about 12415.1135314986. The cubic root of 154135044 is about 536.1674729146.

Adding to 154135044 its reverse (440531451), we get a palindrome (594666495).

It can be divided in two parts, 1541 and 35044, that added together give a triangular number (36585 = T270).

The spelling of 154135044 in words is "one hundred fifty-four million, one hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 61 63 74 84 111 122 126 148 183 222 244 252 259 271 333 366 427 444 518 542 549 666 732 777 813 854 1036 1084 1098 1281 1332 1554 1626 1708 1897 2196 2257 2331 2439 2562 3108 3252 3794 3843 4514 4662 4878 5124 5691 6771 7588 7686 9028 9324 9756 10027 11382 13542 15372 15799 16531 17073 20054 20313 22764 27084 30081 31598 33062 34146 40108 40626 47397 49593 60162 63196 66124 68292 70189 81252 90243 94794 99186 115717 120324 140378 142191 148779 180486 189588 198372 210567 231434 280756 284382 297558 347151 360972 421134 462868 568764 595116 611647 631701 694302 842268 1041453 1223294 1263402 1388604 1834941 2082906 2446588 2526804 3669882 4165812 4281529 5504823 7339764 8563058 11009646 12844587 17126116 22019292 25689174 38533761 51378348 77067522 154135044