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137492082 = 23271383939
BaseRepresentation
bin10000011000111…
…11011001110010
3100120201022200100
420030133121302
5240144221312
621350533230
73256443360
oct1014373162
9316638610
10137492082
1170679922
123a067216
132263c980
1414390630
15c10d5dc
hex831f672

137492082 has 48 divisors (see below), whose sum is σ = 366649920. Its totient is φ = 36261216.

The previous prime is 137492081. The next prime is 137492083. The reversal of 137492082 is 280294731.

137492082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137492081) and next prime (137492083).

It is a super-2 number, since 2×1374920822 = 37808145225389448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137492081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40332 + ... + 43607.

It is an arithmetic number, because the mean of its divisors is an integer number (7638540).

Almost surely, 2137492082 is an apocalyptic number.

137492082 is an abundant number, since it is smaller than the sum of its proper divisors (229157838).

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

137492082 is a wasteful number, since it uses less digits than its factorization.

137492082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83967 (or 83964 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137492082 is about 11725.7017700434. The cubic root of 137492082 is about 516.1301501514.

The spelling of 137492082 in words is "one hundred thirty-seven million, four hundred ninety-two thousand, eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 83939 167878 251817 503634 587573 755451 1091207 1175146 1510902 1762719 2182414 3273621 3525438 5288157 6547242 7638449 9820863 10576314 15276898 19641726 22915347 45830694 68746041 137492082