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137046744 = 233210131879
BaseRepresentation
bin10000010101100…
…10101011011000
3100112212200210100
420022302223120
5240040443434
621333215400
73252610122
oct1012625330
9315780710
10137046744
11703a527a
1239a91560
1322515063
14142b6212
15c071699
hex82b2ad8

137046744 has 48 divisors (see below), whose sum is σ = 371732400. Its totient is φ = 45612864.

The previous prime is 137046727. The next prime is 137046781. The reversal of 137046744 is 447640731.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 137046699 and 137046708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71997 + ... + 73875.

It is an arithmetic number, because the mean of its divisors is an integer number (7744425).

Almost surely, 2137046744 is an apocalyptic number.

It is an amenable number.

137046744 is an abundant number, since it is smaller than the sum of its proper divisors (234685656).

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

137046744 is a wasteful number, since it uses less digits than its factorization.

137046744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2897 counting only the distinct ones).

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

The square root of 137046744 is about 11706.6965451403. The cubic root of 137046744 is about 515.5722974674.

The spelling of 137046744 in words is "one hundred thirty-seven million, forty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1013 1879 2026 3039 3758 4052 5637 6078 7516 8104 9117 11274 12156 15032 16911 18234 22548 24312 33822 36468 45096 67644 72936 135288 1903427 3806854 5710281 7613708 11420562 15227416 17130843 22841124 34261686 45682248 68523372 137046744