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137045532 = 223132930293
BaseRepresentation
bin10000010101100…
…10011000011100
3100112212122010110
420022302120130
5240040424112
621333210020
73252603441
oct1012623034
9315778113
10137045532
11703a4378
1239a90910
1322514640
14142b59c8
15c07113c
hex82b261c

137045532 has 48 divisors (see below), whose sum is σ = 356257440. Its totient is φ = 40712448.

The previous prime is 137045527. The next prime is 137045563. The reversal of 137045532 is 235540731.

It is a self number, because there is not a number n which added to its sum of digits gives 137045532.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10623 + ... + 19670.

It is an arithmetic number, because the mean of its divisors is an integer number (7422030).

Almost surely, 2137045532 is an apocalyptic number.

137045532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137045532 is an abundant number, since it is smaller than the sum of its proper divisors (219211908).

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

137045532 is a wasteful number, since it uses less digits than its factorization.

137045532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30342 (or 30340 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 137045532 is about 11706.6447797821. The cubic root of 137045532 is about 515.5707776077.

The spelling of 137045532 in words is "one hundred thirty-seven million, forty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 30293 60586 90879 121172 181758 363516 393809 787618 878497 1181427 1575236 1756994 2362854 2635491 3513988 4725708 5270982 10541964 11420461 22840922 34261383 45681844 68522766 137045532