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137675745 = 32541711051
BaseRepresentation
bin10000011010011…
…00001111100001
3100121001122121200
420031030033201
5240221110440
621354511413
73261140004
oct1015141741
9317048550
10137675745
1170794909
123a135569
13226a544c
14143db53b
15c147c30
hex834c3e1

137675745 has 48 divisors (see below), whose sum is σ = 248137344. Its totient is φ = 70560000.

The previous prime is 137675717. The next prime is 137675753. The reversal of 137675745 is 547576731.

137675745 is a `hidden beast` number, since 1 + 3 + 76 + 7 + 574 + 5 = 666.

It is not a de Polignac number, because 137675745 - 215 = 137642977 is a prime.

It is a super-2 number, since 2×1376757452 = 37909221522610050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137675745.

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, 130470 + ... + 131520.

It is an arithmetic number, because the mean of its divisors is an integer number (5169528).

Almost surely, 2137675745 is an apocalyptic number.

137675745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137675745 is a deficient number, since it is larger than the sum of its proper divisors (110461599).

137675745 is a wasteful number, since it uses less digits than its factorization.

137675745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1171 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 137675745 is about 11733.5307985278. The cubic root of 137675745 is about 516.3598647959.

The spelling of 137675745 in words is "one hundred thirty-seven million, six hundred seventy-five thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 41 45 71 123 205 213 355 369 615 639 1051 1065 1845 2911 3153 3195 5255 8733 9459 14555 15765 26199 43091 43665 47295 74621 129273 130995 215455 223863 373105 387819 646365 671589 1119315 1939095 3059461 3357945 9178383 15297305 27535149 45891915 137675745