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136150797888 = 2634721741769
BaseRepresentation
bin111111011001100111…
…0000100111001000000
3111000102120202011010000
41332303032010321000
54212314101013023
6142314040040000
712556641454500
oct1766316047100
9430376664100
10136150797888
1152817637676
1222478763000
13caba28b701
14683832da00
15381cd37243
hex1fb3384e40

136150797888 has 840 divisors, whose sum is σ = 509889968280. Its totient is φ = 35672555520.

The previous prime is 136150797857. The next prime is 136150797899. The reversal of 136150797888 is 888797051631.

136150797888 is a `hidden beast` number, since 1 + 3 + 615 + 0 + 7 + 9 + 7 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5563966464 + 130586831424 = 74592^2 + 361368^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 177048768 + ... + 177049536.

It is an arithmetic number, because the mean of its divisors is an integer number (607011867).

Almost surely, 2136150797888 is an apocalyptic number.

136150797888 is a gapful number since it is divisible by the number (18) 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 136150797888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254944984140).

136150797888 is an abundant number, since it is smaller than the sum of its proper divisors (373739170392).

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

136150797888 is a wasteful number, since it uses less digits than its factorization.

136150797888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 136150797888 in words is "one hundred thirty-six billion, one hundred fifty million, seven hundred ninety-seven thousand, eight hundred eighty-eight".