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136985264 = 24134116063
BaseRepresentation
bin10000010101000…
…11101010110000
3100112202120110022
420022203222300
5240032012024
621332023012
73252232643
oct1012435260
9315676408
10136985264
1170363069
1239a61a68
13224c3090
141429ba5a
15c05d35e
hex82a3ab0

136985264 has 40 divisors (see below), whose sum is σ = 292814592. Its totient is φ = 61678080.

The previous prime is 136985227. The next prime is 136985287. The reversal of 136985264 is 462589631.

136985264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497 + ... + 16559.

Almost surely, 2136985264 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 136985264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146407296).

136985264 is an abundant number, since it is smaller than the sum of its proper divisors (155829328).

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

136985264 is a wasteful number, since it uses less digits than its factorization.

136985264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125 (or 16119 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 136985264 is about 11704.0704030692. The cubic root of 136985264 is about 515.4951896501.

It can be divided in two parts, 1369 and 85264, that multiplied together give a square (116726416 = 108042).

The spelling of 136985264 in words is "one hundred thirty-six million, nine hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 8528 16063 32126 64252 128504 208819 257008 417638 658583 835276 1317166 1670552 2634332 3341104 5268664 8561579 10537328 17123158 34246316 68492632 136985264