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136105536 = 26372172337
BaseRepresentation
bin10000001110011…
…00111001000000
3100111002212200210
420013030321000
5234320334121
621301114120
73241610100
oct1007147100
9314085623
10136105536
116a912116
12396b8940
1322275828
141410d200
15be37876
hex81cce40

136105536 has 336 divisors, whose sum is σ = 475341696. Its totient is φ = 34062336.

The previous prime is 136105517. The next prime is 136105589. The reversal of 136105536 is 635501631.

It is a tau number, because it is divible by the number of its divisors (336).

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, 3678510 + ... + 3678546.

Almost surely, 2136105536 is an apocalyptic number.

136105536 is a gapful number since it is divisible by the number (16) 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 136105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237670848).

136105536 is an abundant number, since it is smaller than the sum of its proper divisors (339236160).

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

136105536 is a wasteful number, since it uses less digits than its factorization.

136105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 136105536 is about 11666.4277308866. The cubic root of 136105536 is about 514.3893047060.

The spelling of 136105536 in words is "one hundred thirty-six million, one hundred five thousand, five hundred thirty-six".