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136448732 = 227217311321
BaseRepresentation
bin10000010001000…
…00101011011100
3100111202022110202
420020200223130
5234412324412
621312323032
73244536500
oct1010405334
9314668422
10136448732
1170026a52
1239843478
1322365ac4
141419c300
15bea43c2
hex8220adc

136448732 has 72 divisors (see below), whose sum is σ = 303827328. Its totient is φ = 53222400.

The previous prime is 136448699. The next prime is 136448759. The reversal of 136448732 is 237844631.

136448732 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 23 ways as a sum of consecutive naturals, for example, 102632 + ... + 103952.

It is an arithmetic number, because the mean of its divisors is an integer number (4219824).

Almost surely, 2136448732 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 136448732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151913664).

136448732 is an abundant number, since it is smaller than the sum of its proper divisors (167378596).

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

136448732 is a wasteful number, since it uses less digits than its factorization.

With its successor (136448733) it forms an eRAP, since the sums of their prime factors are consecutive (1387 and 1388).

136448732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1378 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 136448732 is about 11681.1271716389. The cubic root of 136448732 is about 514.8212934484.

The spelling of 136448732 in words is "one hundred thirty-six million, four hundred forty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 31 34 49 62 68 98 119 124 196 217 238 434 476 527 833 868 1054 1321 1519 1666 2108 2642 3038 3332 3689 5284 6076 7378 9247 14756 18494 22457 25823 36988 40951 44914 51646 64729 81902 89828 103292 129458 157199 163804 258916 286657 314398 573314 628796 696167 1100393 1146628 1392334 2006599 2200786 2784668 4013198 4401572 4873169 8026396 9746338 19492676 34112183 68224366 136448732