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135274110 = 23519733251
BaseRepresentation
bin10000001000000…
…01111001111110
3100102112122012020
420010001321332
5234112232420
621231221010
73231545106
oct1004017176
9312478166
10135274110
116a3a4494
1239377766
132204426a
1413d74206
15bd21340
hex8101e7e

135274110 has 64 divisors (see below), whose sum is σ = 346533120. Its totient is φ = 33696000.

The previous prime is 135274093. The next prime is 135274121. The reversal of 135274110 is 11472531.

135274110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39985 + ... + 43235.

It is an arithmetic number, because the mean of its divisors is an integer number (5414580).

Almost surely, 2135274110 is an apocalyptic number.

135274110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135274110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173266560).

135274110 is an abundant number, since it is smaller than the sum of its proper divisors (211259010).

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

135274110 is a wasteful number, since it uses less digits than its factorization.

135274110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 135274110 is about 11630.7398732841. The cubic root of 135274110 is about 513.3397503930.

The spelling of 135274110 in words is "one hundred thirty-five million, two hundred seventy-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 73 95 114 146 190 219 285 365 438 570 730 1095 1387 2190 2774 3251 4161 6502 6935 8322 9753 13870 16255 19506 20805 32510 41610 48765 61769 97530 123538 185307 237323 308845 370614 474646 617690 711969 926535 1186615 1423938 1853070 2373230 3559845 4509137 7119690 9018274 13527411 22545685 27054822 45091370 67637055 135274110