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137595444 = 22377123071
BaseRepresentation
bin10000011001110…
…00101000110100
3100120220120110120
420030320220310
5240211023234
621353051540
73260353620
oct1014705064
9316816416
10137595444
117073a548
123a0b6bb0
1322677a2c
14143ba180
15c12e049
hex8338a34

137595444 has 48 divisors (see below), whose sum is σ = 372105216. Its totient is φ = 38757600.

The previous prime is 137595413. The next prime is 137595463. The reversal of 137595444 is 444595731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 137595396 and 137595405.

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, 5572 + ... + 17499.

It is an arithmetic number, because the mean of its divisors is an integer number (7752192).

Almost surely, 2137595444 is an apocalyptic number.

137595444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137595444 is an abundant number, since it is smaller than the sum of its proper divisors (234509772).

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

137595444 is a wasteful number, since it uses less digits than its factorization.

137595444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23156 (or 23154 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 137595444 is about 11730.1084393965. The cubic root of 137595444 is about 516.2594542803.

The spelling of 137595444 in words is "one hundred thirty-seven million, five hundred ninety-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 23071 46142 69213 92284 138426 161497 276852 322994 484491 645988 968982 1638041 1937964 3276082 4914123 6552164 9828246 11466287 19656492 22932574 34398861 45865148 68797722 137595444