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137440746 = 23313119429
BaseRepresentation
bin10000011000100…
…10110111101010
3100120121201021000
420030102313222
5240141100441
621345455430
73256140612
oct1014226752
9316551230
10137440746
11706442a3
123a041576
13226224b1
1414379a42
15c0ed2b6
hex8312dea

137440746 has 32 divisors (see below), whose sum is σ = 307771200. Its totient is φ = 45461520.

The previous prime is 137440741. The next prime is 137440757. The reversal of 137440746 is 647044731.

It is a happy number.

It is a super-2 number, since 2×1374407462 = 37779917322073032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137440746.

It is not an unprimeable number, because it can be changed into a prime (137440741) 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 15 ways as a sum of consecutive naturals, for example, 2641 + ... + 16788.

It is an arithmetic number, because the mean of its divisors is an integer number (9617850).

Almost surely, 2137440746 is an apocalyptic number.

137440746 is an abundant number, since it is smaller than the sum of its proper divisors (170330454).

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

137440746 is a wasteful number, since it uses less digits than its factorization.

137440746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19571 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 137440746 is about 11723.5125282485. The cubic root of 137440746 is about 516.0659055895.

The spelling of 137440746 in words is "one hundred thirty-seven million, four hundred forty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 131 262 393 786 1179 2358 3537 7074 19429 38858 58287 116574 174861 349722 524583 1049166 2545199 5090398 7635597 15271194 22906791 45813582 68720373 137440746