136747776960 has 1120 divisors, whose sum is σ = 546803592192. Its totient is φ = 32261898240.

The previous prime is 136747776959. The next prime is 136747776973. The reversal of 136747776960 is 69677747631.

136747776960 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 477 + 76 + 96 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1043876095 + ... + 1043876225.

Almost surely, 2^136747776960 is an apocalyptic number.

136747776960 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 136747776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273401796096).

136747776960 is an abundant number, since it is smaller than the sum of its proper divisors (410055815232).

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

136747776960 is a wasteful number, since it uses less digits than its factorization.

136747776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 136747776960 in words is "one hundred thirty-six billion, seven hundred forty-seven million, seven hundred seventy-six thousand, nine hundred sixty".