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137481364 = 22415315817
BaseRepresentation
bin10000011000111…
…00110010010100
3100120200202222101
420030130302110
5240143400424
621350411444
73256400206
oct1014346224
9316622871
10137481364
1170671869
123a060b84
1322637b27
141438a776
15c10a344
hex831cc94

137481364 has 24 divisors (see below), whose sum is σ = 251126568. Its totient is φ = 65794560.

The previous prime is 137481353. The next prime is 137481371. The reversal of 137481364 is 463184731.

It can be written as a sum of positive squares in 4 ways, for example, as 26010000 + 111471364 = 5100^2 + 10558^2 .

It is a super-2 number, since 2×1374813642 = 37802250894600992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 784 + ... + 16600.

It is an arithmetic number, because the mean of its divisors is an integer number (10463607).

Almost surely, 2137481364 is an apocalyptic number.

It is an amenable number.

137481364 is a deficient number, since it is larger than the sum of its proper divisors (113645204).

137481364 is a wasteful number, since it uses less digits than its factorization.

137481364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15915 (or 15913 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 137481364 is about 11725.2447309214. The cubic root of 137481364 is about 516.1167384053.

The spelling of 137481364 in words is "one hundred thirty-seven million, four hundred eighty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 41 53 82 106 164 212 2173 4346 8692 15817 31634 63268 648497 838301 1296994 1676602 2593988 3353204 34370341 68740682 137481364