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136799373312 = 211357107367
BaseRepresentation
bin111111101100111100…
…0001100100000000000
3111002002210011012100000
41333121320030200000
54220131114421222
6142502245200000
712612005326110
oct1773170144000
9432083135300
10136799373312
115301a752a18
1222619a00000
13cb91764154
14689a51d040
153859c4c9ac
hex1fd9e0c800

136799373312 has 576 divisors, whose sum is σ = 473932892160. Its totient is φ = 38614745088.

The previous prime is 136799373289. The next prime is 136799373313. The reversal of 136799373312 is 213373997631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3857868) is a multiple of the sum of its prime divisors (486).

It is not an unprimeable number, because it can be changed into a prime (136799373313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372750153 + ... + 372750519.

It is an arithmetic number, because the mean of its divisors is an integer number (822800160).

Almost surely, 2136799373312 is an apocalyptic number.

136799373312 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 136799373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236966446080).

136799373312 is an abundant number, since it is smaller than the sum of its proper divisors (337133518848).

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

136799373312 is an equidigital number, since it uses as much as digits as its factorization.

136799373312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 486 counting only the distinct ones).

The product of its digits is 3857868, while the sum is 54.

The spelling of 136799373312 in words is "one hundred thirty-six billion, seven hundred ninety-nine million, three hundred seventy-three thousand, three hundred twelve".