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137352387 = 31919912109
BaseRepresentation
bin10000010111111…
…01010011000011
3100120110020001110
420023331103003
5240130234022
621343534403
73255322164
oct1013752303
9316406043
10137352387
1170593977
1239bba403
13225c1203
141435576b
15c0d200c
hex82fd4c3

137352387 has 16 divisors (see below), whose sum is σ = 193760000. Its totient is φ = 86305824.

The previous prime is 137352379. The next prime is 137352403. The reversal of 137352387 is 783253731.

It is a happy number.

137352387 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137352387 - 23 = 137352379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137352307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5289 + ... + 17397.

It is an arithmetic number, because the mean of its divisors is an integer number (12110000).

Almost surely, 2137352387 is an apocalyptic number.

137352387 is a deficient number, since it is larger than the sum of its proper divisors (56407613).

137352387 is a wasteful number, since it uses less digits than its factorization.

137352387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12330.

The product of its digits is 105840, while the sum is 39.

The square root of 137352387 is about 11719.7434698888. The cubic root of 137352387 is about 515.9552910304.

The spelling of 137352387 in words is "one hundred thirty-seven million, three hundred fifty-two thousand, three hundred eighty-seven".

Divisors: 1 3 19 57 199 597 3781 11343 12109 36327 230071 690213 2409691 7229073 45784129 137352387