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137255768 = 231373101179
BaseRepresentation
bin10000010111001…
…01101101011000
3100120021022111222
420023211231120
5240114141033
621341511212
73254440406
oct1013455530
9316238458
10137255768
1170528321
1239b72508
1322589240
141432c476
15c0b3598
hex82e5b58

137255768 has 64 divisors (see below), whose sum is σ = 285314400. Its totient is φ = 61516800.

The previous prime is 137255759. The next prime is 137255803. The reversal of 137255768 is 867552731.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 766703 + ... + 766881.

Almost surely, 2137255768 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 137255768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142657200).

137255768 is an abundant number, since it is smaller than the sum of its proper divisors (148058632).

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

137255768 is a wasteful number, since it uses less digits than its factorization.

137255768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its digits is 352800, while the sum is 44.

The square root of 137255768 is about 11715.6206835148. The cubic root of 137255768 is about 515.8342816594.

The spelling of 137255768 in words is "one hundred thirty-seven million, two hundred fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 73 101 104 146 179 202 292 358 404 584 716 808 949 1313 1432 1898 2327 2626 3796 4654 5252 7373 7592 9308 10504 13067 14746 18079 18616 26134 29492 36158 52268 58984 72316 95849 104536 144632 169871 191698 235027 339742 383396 470054 679484 766792 940108 1319767 1358968 1880216 2639534 5279068 10558136 17156971 34313942 68627884 137255768