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135912704 = 282341563
BaseRepresentation
bin10000001100111…
…01110100000000
3100110202002011212
420012131310000
5234243201304
621253025252
73240144644
oct1006356400
9313662155
10135912704
116a7a0254
1239625228
1322208b25
141409cc24
15bdea66e
hex819dd00

135912704 has 72 divisors (see below), whose sum is σ = 290509632. Its totient is φ = 63303680.

The previous prime is 135912703. The next prime is 135912709. The reversal of 135912704 is 407219531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135912703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241127 + ... + 241689.

It is an arithmetic number, because the mean of its divisors is an integer number (4034856).

Almost surely, 2135912704 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 135912704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145254816).

135912704 is an abundant number, since it is smaller than the sum of its proper divisors (154596928).

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

135912704 is an equidigital number, since it uses as much as digits as its factorization.

135912704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 135912704 is about 11658.1604037687. The cubic root of 135912704 is about 514.1462638958.

The spelling of 135912704 in words is "one hundred thirty-five million, nine hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 256 328 368 563 656 736 943 1126 1312 1472 1886 2252 2624 2944 3772 4504 5248 5888 7544 9008 10496 12949 15088 18016 23083 25898 30176 36032 46166 51796 60352 72064 92332 103592 120704 144128 184664 207184 241408 369328 414368 530909 738656 828736 1061818 1477312 1657472 2123636 2954624 3314944 4247272 5909248 8494544 16989088 33978176 67956352 135912704