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136195920 = 24325761443
BaseRepresentation
bin10000001111000…
…10111101010000
3100111021110200100
420013202331100
5234331232140
621303052400
73242434440
oct1007427520
9314243610
10136195920
116a974013
1239741100
13222a7a03
1414134120
15be54530
hex81e2f50

136195920 has 240 divisors, whose sum is σ = 532501632. Its totient is φ = 30551040.

The previous prime is 136195907. The next prime is 136195931. The reversal of 136195920 is 29591631.

136195920 is a `hidden beast` number, since 1 + 3 + 61 + 9 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307219 + ... + 307661.

Almost surely, 2136195920 is an apocalyptic number.

136195920 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 136195920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266250816).

136195920 is an abundant number, since it is smaller than the sum of its proper divisors (396305712).

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

136195920 is a wasteful number, since it uses less digits than its factorization.

136195920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 136195920 is about 11670.3007673324. The cubic root of 136195920 is about 514.5031435123.

The spelling of 136195920 in words is "one hundred thirty-six million, one hundred ninety-five thousand, nine hundred twenty".