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137076150 = 23526171211
BaseRepresentation
bin10000010101110…
…01110110110110
3100112221012010110
420022321312312
5240042414100
621334003450
73253061631
oct1012716666
9315835113
10137076150
1170415382
1239aa6586
1322525563
14142c2c18
15c07a250
hex82b9db6

137076150 has 96 divisors (see below), whose sum is σ = 352048896. Its totient is φ = 35280000.

The previous prime is 137076133. The next prime is 137076169. The reversal of 137076150 is 51670731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649545 + ... + 649755.

It is an arithmetic number, because the mean of its divisors is an integer number (3667176).

Almost surely, 2137076150 is an apocalyptic number.

137076150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137076150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176024448).

137076150 is an abundant number, since it is smaller than the sum of its proper divisors (214972746).

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

137076150 is a wasteful number, since it uses less digits than its factorization.

137076150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 137076150 is about 11707.9524255952. The cubic root of 137076150 is about 515.6091701293.

The spelling of 137076150 in words is "one hundred thirty-seven million, seventy-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 71 75 122 142 150 183 211 213 305 355 366 422 426 610 633 710 915 1055 1065 1266 1525 1775 1830 2110 2130 3050 3165 3550 4331 4575 5275 5325 6330 8662 9150 10550 10650 12871 12993 14981 15825 21655 25742 25986 29962 31650 38613 43310 44943 64355 64965 74905 77226 89886 108275 128710 129930 149810 193065 216550 224715 321775 324825 374525 386130 449430 643550 649650 749050 913841 965325 1123575 1827682 1930650 2247150 2741523 4569205 5483046 9138410 13707615 22846025 27415230 45692050 68538075 137076150