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136295136 = 253452583
BaseRepresentation
bin10000001111110…
…11001011100000
3100111110111210000
420013323023200
5234342421021
621305140000
73243326625
oct1007731340
9314414700
10136295136
116aa3160a
123978a600
1322310c13
141415c34c
15be73b26
hex81fb2e0

136295136 has 60 divisors (see below), whose sum is σ = 400847832. Its totient is φ = 45430848.

The previous prime is 136295129. The next prime is 136295143. The reversal of 136295136 is 631592631.

136295136 is a `hidden beast` number, since 13 + 629 + 5 + 13 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (136295129) and next prime (136295143).

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

It is a self number, because there is not a number n which added to its sum of digits gives 136295136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 23700 + ... + 28883.

Almost surely, 2136295136 is an apocalyptic number.

136295136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136295136 is an abundant number, since it is smaller than the sum of its proper divisors (264552696).

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

136295136 is an equidigital number, since it uses as much as digits as its factorization.

136295136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52605 (or 52588 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 136295136 is about 11674.5507836490. The cubic root of 136295136 is about 514.6280482655.

The spelling of 136295136 in words is "one hundred thirty-six million, two hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 52583 105166 157749 210332 315498 420664 473247 630996 841328 946494 1261992 1419741 1682656 1892988 2523984 2839482 3785976 4259223 5047968 5678964 7571952 8518446 11357928 15143904 17036892 22715856 34073784 45431712 68147568 136295136