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137769464 = 2378093041
BaseRepresentation
bin10000011011000…
…11000111111000
3100121020102011202
420031203013320
5240232110324
621400513332
73262010150
oct1015430770
9317212152
10137769464
1170849268
123a17b848
1322708cc1
1414423760
15c1658ae
hex83631f8

137769464 has 32 divisors (see below), whose sum is σ = 295682400. Its totient is φ = 58951680.

The previous prime is 137769461. The next prime is 137769493. The reversal of 137769464 is 464967731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137769461) 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 7 ways as a sum of consecutive naturals, for example, 43784 + ... + 46824.

It is an arithmetic number, because the mean of its divisors is an integer number (9240075).

Almost surely, 2137769464 is an apocalyptic number.

137769464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137769464 is an abundant number, since it is smaller than the sum of its proper divisors (157912936).

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

137769464 is a wasteful number, since it uses less digits than its factorization.

137769464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3859 counting only the distinct ones).

The product of its digits is 762048, while the sum is 47.

The square root of 137769464 is about 11737.5237592944. The cubic root of 137769464 is about 516.4770041744.

The spelling of 137769464 in words is "one hundred thirty-seven million, seven hundred sixty-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 809 1618 3041 3236 5663 6082 6472 11326 12164 21287 22652 24328 42574 45304 85148 170296 2460169 4920338 9840676 17221183 19681352 34442366 68884732 137769464