136931472000 has 768 divisors, whose sum is σ = 523014710400. Its totient is φ = 35582976000.

The previous prime is 136931471977. The next prime is 136931472011. The reversal of 136931472000 is 274139631.

136931472000 is a `hidden beast` number, since 136 + 9 + 314 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159407571 + ... + 159408429.

Almost surely, 2^136931472000 is an apocalyptic number.

136931472000 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 136931472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261507355200).

136931472000 is an abundant number, since it is smaller than the sum of its proper divisors (386083238400).

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

136931472000 is an frugal number, since it uses more digits than its factorization.

136931472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 136931472000 in words is "one hundred thirty-six billion, nine hundred thirty-one million, four hundred seventy-two thousand".