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136641861792 = 25331715161609
BaseRepresentation
bin111111101000001111…
…1010101100010100000
3111001200210202210011000
41333100133111202200
54214320304034132
6142434501152000
712605053442622
oct1772037254240
9431623683130
10136641861792
1152a49850207
12225950bb600
13cb67c35277
14688363ac12
15384aed787c
hex1fd07d58a0

136641861792 has 192 divisors, whose sum is σ = 424783699200. Its totient is φ = 42583449600.

The previous prime is 136641861787. The next prime is 136641861823. The reversal of 136641861792 is 297168146631.

136641861792 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 4 + 18 + 617 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 2187084 + ... + 2248692.

It is an arithmetic number, because the mean of its divisors is an integer number (2212415100).

Almost surely, 2136641861792 is an apocalyptic number.

136641861792 is a gapful number since it is divisible by the number (12) 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 136641861792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212391849600).

136641861792 is an abundant number, since it is smaller than the sum of its proper divisors (288141837408).

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

136641861792 is a wasteful number, since it uses less digits than its factorization.

136641861792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61796 (or 61782 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 136641861792 in words is "one hundred thirty-six billion, six hundred forty-one million, eight hundred sixty-one thousand, seven hundred ninety-two".