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136081561056 = 25371931893863
BaseRepresentation
bin111111010111100010…
…1111101010111100000
3111000020202110120000220
41332233011331113200
54212143334423211
6142303124043040
712555141120030
oct1765705752740
9430222416026
10136081561056
1152791547a51
1222459533480
13caa8b2937c
14682d0698c0
153816c0c806
hex1faf17d5e0

136081561056 has 384 divisors, whose sum is σ = 448693862400. Its totient is φ = 35236270080.

The previous prime is 136081561001. The next prime is 136081561093. The reversal of 136081561056 is 650165180631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 136081560999 and 136081561017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35224981 + ... + 35228843.

It is an arithmetic number, because the mean of its divisors is an integer number (1168473600).

Almost surely, 2136081561056 is an apocalyptic number.

136081561056 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 136081561056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224346931200).

136081561056 is an abundant number, since it is smaller than the sum of its proper divisors (312612301344).

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

136081561056 is a wasteful number, since it uses less digits than its factorization.

136081561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 136081561056 in words is "one hundred thirty-six billion, eighty-one million, five hundred sixty-one thousand, fifty-six".