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137416552 = 23713316089
BaseRepresentation
bin10000011000011…
…00111101101000
3100120120111001221
420030030331220
5240134312202
621345151424
73256010230
oct1014147550
9316514057
10137416552
11706280a9
123a02b574
1322614490
1414370cc0
15c0e6037
hex830cf68

137416552 has 64 divisors (see below), whose sum is σ = 327398400. Its totient is φ = 52600320.

The previous prime is 137416547. The next prime is 137416561. The reversal of 137416552 is 255614731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19524 + ... + 25612.

It is an arithmetic number, because the mean of its divisors is an integer number (5115600).

Almost surely, 2137416552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137416552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163699200).

137416552 is an abundant number, since it is smaller than the sum of its proper divisors (189981848).

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

137416552 is a wasteful number, since it uses less digits than its factorization.

137416552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6142 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 137416552 is about 11722.4806248507. The cubic root of 137416552 is about 516.0356224030.

The spelling of 137416552 in words is "one hundred thirty-seven million, four hundred sixteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2821 3224 5642 6089 11284 12178 22568 24356 42623 48712 79157 85246 158314 170492 188759 316628 340984 377518 554099 633256 755036 1108198 1321313 1510072 2216396 2453867 2642626 4432792 4907734 5285252 9815468 10570504 17177069 19630936 34354138 68708276 137416552