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135106712 = 231337687
BaseRepresentation
bin10000000110110…
…01000010011000
3100102020010120022
420003121002120
5234041403322
621223450012
73230250056
oct1003310230
9312203508
10135106712
116a29a744
12392b6908
1321cb6000
1413d2d1d6
15bcdb942
hex80d9098

135106712 has 32 divisors (see below), whose sum is σ = 274461600. Its totient is φ = 62348832.

The previous prime is 135106691. The next prime is 135106729. The reversal of 135106712 is 217601531.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13733 + ... + 21419.

It is an arithmetic number, because the mean of its divisors is an integer number (8576925).

Almost surely, 2135106712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135106712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137230800).

135106712 is an abundant number, since it is smaller than the sum of its proper divisors (139354888).

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

135106712 is an equidigital number, since it uses as much as digits as its factorization.

135106712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 135106712 is about 11623.5412848237. The cubic root of 135106712 is about 513.1279150361.

The spelling of 135106712 in words is "one hundred thirty-five million, one hundred six thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 2197 4394 7687 8788 15374 17576 30748 61496 99931 199862 399724 799448 1299103 2598206 5196412 10392824 16888339 33776678 67553356 135106712