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137751265264 = 24127149454973
BaseRepresentation
bin1000000001001010011…
…1010111111111110000
3111011120010022022121111
42000102213113333300
54224103310442024
6143140531403104
712644414302234
oct2002247277760
9434503268544
10137751265264
1153468aa8488
1222844753494
13ccb3a29122
14694ab065c4
1538b35c9a94
hex20129d7ff0

137751265264 has 40 divisors (see below), whose sum is σ = 270800524800. Its totient is φ = 67874542848.

The previous prime is 137751265247. The next prime is 137751265273. The reversal of 137751265264 is 462562157731.

137751265264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1377512652642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75282 + ... + 530254.

It is an arithmetic number, because the mean of its divisors is an integer number (6770013120).

Almost surely, 2137751265264 is an apocalyptic number.

It is an amenable number.

137751265264 is a deficient number, since it is larger than the sum of its proper divisors (133049259536).

137751265264 is a wasteful number, since it uses less digits than its factorization.

137751265264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455257 (or 455251 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 49.

The spelling of 137751265264 in words is "one hundred thirty-seven billion, seven hundred fifty-one million, two hundred sixty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 127 149 254 298 508 596 1016 1192 2032 2384 18923 37846 75692 151384 302768 454973 909946 1819892 3639784 7279568 57781571 67790977 115563142 135581954 231126284 271163908 462252568 542327816 924505136 1084655632 8609454079 17218908158 34437816316 68875632632 137751265264