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135374715 = 32571922619
BaseRepresentation
bin10000001000110…
…10011101111011
3100102201202012100
420010122131323
5234123442330
621233314443
73232444320
oct1004323573
9312652170
10135374715
116a463033
1239405a23
132207aca8
1413d9cb47
15bd41060
hex811a77b

135374715 has 48 divisors (see below), whose sum is σ = 282297600. Its totient is φ = 58625856.

The previous prime is 135374699. The next prime is 135374719. The reversal of 135374715 is 517473531.

135374715 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135374715 - 24 = 135374699 is a prime.

It is a super-2 number, since 2×1353747152 = 36652626922662450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135374715.

It is not an unprimeable number, because it can be changed into a prime (135374719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5325 + ... + 17294.

It is an arithmetic number, because the mean of its divisors is an integer number (5881200).

Almost surely, 2135374715 is an apocalyptic number.

135374715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135374715 is an abundant number, since it is smaller than the sum of its proper divisors (146922885).

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

135374715 is a wasteful number, since it uses less digits than its factorization.

135374715 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22656 (or 22653 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 135374715 is about 11635.0640307649. The cubic root of 135374715 is about 513.4669778622.

The spelling of 135374715 in words is "one hundred thirty-five million, three hundred seventy-four thousand, seven hundred fifteen".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 22619 67857 113095 158333 203571 339285 429761 474999 791665 1017855 1289283 1424997 2148805 2374995 3008327 3867849 6446415 7124985 9024981 15041635 19339245 27074943 45124905 135374715