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137349664 = 2517252481
BaseRepresentation
bin10000010111111…
…00101000100000
3100120110002022121
420023330220200
5240130142124
621343514024
73255311224
oct1013745040
9316402277
10137349664
1170591921
1239bb8914
13225bcbba
1414354784
15c0d12e4
hex82fca20

137349664 has 24 divisors (see below), whose sum is σ = 286314588. Its totient is φ = 64634880.

The previous prime is 137349649. The next prime is 137349673. The reversal of 137349664 is 466943731.

It can be written as a sum of positive squares in 2 ways, for example, as 127690000 + 9659664 = 11300^2 + 3108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137349664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125697 + ... + 126784.

Almost surely, 2137349664 is an apocalyptic number.

It is an amenable number.

137349664 is an abundant number, since it is smaller than the sum of its proper divisors (148964924).

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

137349664 is a wasteful number, since it uses less digits than its factorization.

137349664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252508 (or 252500 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The square root of 137349664 is about 11719.6272978282. The cubic root of 137349664 is about 515.9518814172.

The spelling of 137349664 in words is "one hundred thirty-seven million, three hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 252481 504962 1009924 2019848 4039696 4292177 8079392 8584354 17168708 34337416 68674832 137349664