136627076160 has 336 divisors, whose sum is σ = 495411678720. Its totient is φ = 35446118400.

The previous prime is 136627076153. The next prime is 136627076191. The reversal of 136627076160 is 61670726631.

136627076160 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 27 + 0 + 7 + 616 + 0 = 666.

136627076160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 369631²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11822385 + ... + 11833935.

It is an arithmetic number, because the mean of its divisors is an integer number (1474439520).

Almost surely, 2^136627076160 is an apocalyptic number.

136627076160 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 136627076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247705839360).

136627076160 is an abundant number, since it is smaller than the sum of its proper divisors (358784602560).

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

136627076160 is a wasteful number, since it uses less digits than its factorization.

136627076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11651 (or 11598 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 136627076160 in words is "one hundred thirty-six billion, six hundred twenty-seven million, seventy-six thousand, one hundred sixty".