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137472075 = 325213431093
BaseRepresentation
bin10000011000110…
…10100001001011
3100120200022020100
420030122201023
5240143101300
621350300443
73256331136
oct1014324113
9316608210
10137472075
1170665894
123a057723
1322633830
141438721d
15c107700
hex831a84b

137472075 has 72 divisors (see below), whose sum is σ = 271583312. Its totient is φ = 66044160.

The previous prime is 137472043. The next prime is 137472079. The reversal of 137472075 is 570274731.

It is not a de Polignac number, because 137472075 - 25 = 137472043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137472079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125229 + ... + 126321.

Almost surely, 2137472075 is an apocalyptic number.

137472075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137472075 is a deficient number, since it is larger than the sum of its proper divisors (134111237).

137472075 is a wasteful number, since it uses less digits than its factorization.

137472075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 137472075 is about 11724.8486130952. The cubic root of 137472075 is about 516.1051142447.

The spelling of 137472075 in words is "one hundred thirty-seven million, four hundred seventy-two thousand, seventy-five".

Divisors: 1 3 5 9 13 15 25 39 43 45 65 75 117 129 195 215 225 325 387 559 585 645 975 1075 1093 1677 1935 2795 2925 3225 3279 5031 5465 8385 9675 9837 13975 14209 16395 25155 27325 41925 42627 46999 49185 71045 81975 125775 127881 140997 213135 234995 245925 355225 422991 610987 639405 704985 1065675 1174975 1832961 2114955 3054935 3197025 3524925 5498883 9164805 10574775 15274675 27494415 45824025 137472075