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134153945364 = 22329676598731
BaseRepresentation
bin111110011110000110…
…0101100000100010100
3110211021102022112102010
41330330030230010110
54144221402222424
6141343544344220
712456313502145
oct1747414540424
9424242275363
10134153945364
115199244a82a
1221bbba75070
13c85c676b7a
1466c9053acc
153752897229
hex1f3c32c114

134153945364 has 96 divisors (see below), whose sum is σ = 329189414400. Its totient is φ = 42462161280.

The previous prime is 134153945363. The next prime is 134153945399. The reversal of 134153945364 is 463549351431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134153945363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15360879 + ... + 15369609.

It is an arithmetic number, because the mean of its divisors is an integer number (3429056400).

Almost surely, 2134153945364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134153945364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164594707200).

134153945364 is an abundant number, since it is smaller than the sum of its proper divisors (195035469036).

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

134153945364 is a wasteful number, since it uses less digits than its factorization.

134153945364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9491 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 134153945364 in words is "one hundred thirty-four billion, one hundred fifty-three million, nine hundred forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 659 804 1318 1943 1977 2636 3886 3954 5829 7772 7908 8731 11658 17462 19111 23316 26193 34924 38222 44153 52386 57333 76444 88306 104772 114666 132459 176612 229332 253199 264918 506398 529836 584977 759597 1012796 1169954 1280437 1519194 1754931 2339908 2560874 3038388 3509862 3841311 5121748 5753729 7019724 7682622 11507458 15365244 16964333 17261187 23014916 33928666 34522374 50892999 67857332 69044748 101785998 166858141 203571996 333716282 385499843 500574423 667432564 770999686 1001148846 1156499529 1541999372 2002297692 2312999058 4625998116 11179495447 22358990894 33538486341 44717981788 67076972682 134153945364