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137060256 = 2531783983
BaseRepresentation
bin10000010101101…
…01111110100000
3100112220101022210
420022311332200
5240041412011
621333402120
73252664404
oct1012657640
9315811283
10137060256
1170404443
1239a99340
132251b258
14142bb104
15c0756a6
hex82b5fa0

137060256 has 48 divisors (see below), whose sum is σ = 380951424. Its totient is φ = 42998784.

The previous prime is 137060251. The next prime is 137060291. The reversal of 137060256 is 652060731.

137060256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (137060251) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40360 + ... + 43623.

It is an arithmetic number, because the mean of its divisors is an integer number (7936488).

Almost surely, 2137060256 is an apocalyptic number.

137060256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137060256 is an abundant number, since it is smaller than the sum of its proper divisors (243891168).

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

137060256 is a wasteful number, since it uses less digits than its factorization.

137060256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84013 (or 84005 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137060256 is about 11707.2736365048. The cubic root of 137060256 is about 515.5892410390.

The spelling of 137060256 in words is "one hundred thirty-seven million, sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 83983 167966 251949 335932 503898 671864 1007796 1343728 1427711 2015592 2687456 2855422 4031184 4283133 5710844 8062368 8566266 11421688 17132532 22843376 34265064 45686752 68530128 137060256