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137209392 = 2432952843
BaseRepresentation
bin10000010110110…
…10011000110000
3100120011221220100
420023122120300
5240111200032
621340512400
73254155245
oct1013323060
9316157810
10137209392
11704a64a1
1239b4b700
13225710b8
14143195cc
15c0a497c
hex82da630

137209392 has 30 divisors (see below), whose sum is σ = 383996132. Its totient is φ = 45736416.

The previous prime is 137209381. The next prime is 137209427. The reversal of 137209392 is 293902731.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 5 ways as a sum of consecutive naturals, for example, 476278 + ... + 476565.

Almost surely, 2137209392 is an apocalyptic number.

137209392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137209392 is an abundant number, since it is smaller than the sum of its proper divisors (246786740).

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

137209392 is a wasteful number, since it uses less digits than its factorization.

137209392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952857 (or 952848 counting only the distinct ones).

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

The square root of 137209392 is about 11713.6412784411. The cubic root of 137209392 is about 515.7761783928.

It can be divided in two parts, 13720939 and 2, that added together give a triangular number (13720941 = T5238).

The spelling of 137209392 in words is "one hundred thirty-seven million, two hundred nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 952843 1905686 2858529 3811372 5717058 7622744 8575587 11434116 15245488 17151174 22868232 34302348 45736464 68604696 137209392