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137004399 = 3372331517
BaseRepresentation
bin10000010101010…
…00010101101111
3100112210112201000
420022220111233
5240033120044
621332251343
73252342510
oct1012502557
9315715630
10137004399
1170376484
1239a70b53
13224cb9bc
14142a4a07
15c063d69
hex82a856f

137004399 has 32 divisors (see below), whose sum is σ = 242058240. Its totient is φ = 74882016.

The previous prime is 137004397. The next prime is 137004433. The reversal of 137004399 is 993400731.

It is not a de Polignac number, because 137004399 - 21 = 137004397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137004397) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11412 + ... + 20105.

It is an arithmetic number, because the mean of its divisors is an integer number (7564320).

Almost surely, 2137004399 is an apocalyptic number.

137004399 is a deficient number, since it is larger than the sum of its proper divisors (105053841).

137004399 is a wasteful number, since it uses less digits than its factorization.

137004399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31556 (or 31550 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 137004399 is about 11704.8878251780. The cubic root of 137004399 is about 515.5191911154.

The spelling of 137004399 in words is "one hundred thirty-seven million, four thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 31517 94551 220619 283653 661857 724891 850959 1985571 2174673 5074237 5956713 6524019 15222711 19572057 45668133 137004399