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137885475 = 35271389227
BaseRepresentation
bin10000011011111…
…11011100100011
3100121110022022110
420031333130203
5240244313400
621403210403
73263002320
oct1015773443
9317408273
10137885475
1170918442
123a216a03
1322749a50
1414453b47
15c189e50
hex837f723

137885475 has 96 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 57277440.

The previous prime is 137885471. The next prime is 137885519. The reversal of 137885475 is 574588731.

It is a happy number.

It is not a de Polignac number, because 137885475 - 22 = 137885471 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137885471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 607312 + ... + 607538.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2137885475 is an apocalyptic number.

137885475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137885475 is an abundant number, since it is smaller than the sum of its proper divisors (147096285).

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

137885475 is a wasteful number, since it uses less digits than its factorization.

137885475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The square root of 137885475 is about 11742.4646050137. The cubic root of 137885475 is about 516.6219327670.

The spelling of 137885475 in words is "one hundred thirty-seven million, eight hundred eighty-five thousand, four hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 89 91 105 175 195 227 267 273 325 445 455 525 623 681 975 1135 1157 1335 1365 1589 1869 2225 2275 2951 3115 3405 3471 4767 5675 5785 6675 6825 7945 8099 8853 9345 14755 15575 17025 17355 20203 20657 23835 24297 28925 39725 40495 44265 46725 60609 61971 73775 86775 101015 103285 119175 121485 141421 202475 221325 262639 303045 309855 424263 505075 516425 607425 707105 787917 1313195 1515225 1549275 1838473 2121315 3535525 3939585 5515419 6565975 9192365 10606575 19697925 27577095 45961825 137885475