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136127952 = 2434105037
BaseRepresentation
bin10000001110100…
…10010111010000
3100111011000110000
420013102113100
5234322043302
621301410000
73242032332
oct1007222720
9314130400
10136127952
116a927a44
1239709900
1322282aac
1414117452
15be3e31c
hex81d25d0

136127952 has 50 divisors (see below), whose sum is σ = 393997538. Its totient is φ = 45375552.

The previous prime is 136127941. The next prime is 136127963. The reversal of 136127952 is 259721631.

It is an interprime number because it is at equal distance from previous prime (136127941) and next prime (136127963).

It can be written as a sum of positive squares in only one way, i.e., 78428736 + 57699216 = 8856^2 + 7596^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 51223 + ... + 53814.

Almost surely, 2136127952 is an apocalyptic number.

136127952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136127952 is an abundant number, since it is smaller than the sum of its proper divisors (257869586).

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

136127952 is a wasteful number, since it uses less digits than its factorization.

136127952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105057 (or 105042 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 136127952 is about 11667.3883967236. The cubic root of 136127952 is about 514.4175423958.

The spelling of 136127952 in words is "one hundred thirty-six million, one hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 105037 210074 315111 420148 630222 840296 945333 1260444 1680592 1890666 2520888 2835999 3781332 5041776 5671998 7562664 8507997 11343996 15125328 17015994 22687992 34031988 45375984 68063976 136127952