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136924908120 = 233257211131731103
BaseRepresentation
bin111111110000101011…
…1000100101001011000
3111002102112101000201100
41333201113010221120
54220410234024440
6142522531551400
712615061341600
oct1774127045130
9432375330640
10136924908120
11530845a50a0
1222653a5b560
13cbb17783c0
1468ad079c00
153865c98230
hex1fe15c4a58

136924908120 has 2304 divisors, whose sum is σ = 671159623680. Its totient is φ = 23688806400.

The previous prime is 136924908091. The next prime is 136924908191. The reversal of 136924908120 is 21809429631.

136924908120 is a `hidden beast` number, since 1 + 3 + 69 + 2 + 490 + 81 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1329367989 + ... + 1329368091.

It is an arithmetic number, because the mean of its divisors is an integer number (291301920).

Almost surely, 2136924908120 is an apocalyptic number.

136924908120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136924908120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335579811840).

136924908120 is an abundant number, since it is smaller than the sum of its proper divisors (534234715560).

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

136924908120 is a wasteful number, since it uses less digits than its factorization.

136924908120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 136924908120 in words is "one hundred thirty-six billion, nine hundred twenty-four million, nine hundred eight thousand, one hundred twenty".