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136383730560 = 2735572111627
BaseRepresentation
bin111111100000100011…
…0101001001110000000
3111001000211001100200000
41333001012221032000
54213303213334220
6142353120400000
712565500403500
oct1770106511600
9431024040600
10136383730560
1152927073410
1222522776000
13cb266067ac
14685b245a00
1538334e9390
hex1fc11a9380

136383730560 has 1152 divisors, whose sum is σ = 620159379840. Its totient is φ = 28322058240.

The previous prime is 136383730541. The next prime is 136383730603. The reversal of 136383730560 is 65037383631.

136383730560 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 83 + 7 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1363837305602 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83824467 + ... + 83826093.

It is an arithmetic number, because the mean of its divisors is an integer number (538332795).

Almost surely, 2136383730560 is an apocalyptic number.

136383730560 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 136383730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310079689920).

136383730560 is an abundant number, since it is smaller than the sum of its proper divisors (483775649280).

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

136383730560 is a wasteful number, since it uses less digits than its factorization.

136383730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 136383730560 in words is "one hundred thirty-six billion, three hundred eighty-three million, seven hundred thirty thousand, five hundred sixty".