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137075256 = 233213114533
BaseRepresentation
bin10000010101110…
…01101000111000
3100112221010220100
420022321220320
5240042402011
621333555400
73253056213
oct1012715070
9315833810
10137075256
117041473a
1239aa5b60
1322525026
14142c277a
15c079d56
hex82b9a38

137075256 has 48 divisors (see below), whose sum is σ = 374105160. Its totient is φ = 45339840.

The previous prime is 137075251. The next prime is 137075261. The reversal of 137075256 is 652570731.

It is an interprime number because it is at equal distance from previous prime (137075251) and next prime (137075261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137075256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137075251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2166 + ... + 16698.

Almost surely, 2137075256 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 137075256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187052580).

137075256 is an abundant number, since it is smaller than the sum of its proper divisors (237029904).

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

137075256 is a wasteful number, since it uses less digits than its factorization.

137075256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14676 (or 14669 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 137075256 is about 11707.9142463549. The cubic root of 137075256 is about 515.6080492058.

The spelling of 137075256 in words is "one hundred thirty-seven million, seventy-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 14533 29066 43599 58132 87198 116264 130797 174396 261594 348792 523188 1046376 1903823 3807646 5711469 7615292 11422938 15230584 17134407 22845876 34268814 45691752 68537628 137075256