136275278936832 has 1008 divisors, whose sum is σ = 479389674086400. Its totient is φ = 38626908493824.

The previous prime is 136275278936831. The next prime is 136275278936843. The reversal of 136275278936832 is 238639872572631.

136275278936832 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 7 + 527 + 8 + 9 + 3 + 68 + 32 = 666.

136275278936832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×136275278936832² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (136275278936831) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8129519683 + ... + 8129536445.

Almost surely, 2^{136275278936832} is an apocalyptic number.

136275278936832 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 136275278936832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239694837043200).

136275278936832 is an abundant number, since it is smaller than the sum of its proper divisors (343114395149568).

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

136275278936832 is an frugal number, since it uses more digits than its factorization.

136275278936832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16945 (or 16902 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 136275278936832 in words is "one hundred thirty-six trillion, two hundred seventy-five billion, two hundred seventy-eight million, nine hundred thirty-six thousand, eight hundred thirty-two".