136640314272 has 768 divisors, whose sum is σ = 491368550400. Its totient is φ = 32182272000.

The previous prime is 136640314259. The next prime is 136640314339. The reversal of 136640314272 is 272413046631.

It is a self number, because there is not a number n which added to its sum of digits gives 136640314272.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 351260254 + ... + 351260642.

It is an arithmetic number, because the mean of its divisors is an integer number (639802800).

Almost surely, 2^136640314272 is an apocalyptic number.

136640314272 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 136640314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245684275200).

136640314272 is an abundant number, since it is smaller than the sum of its proper divisors (354728236128).

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

136640314272 is a wasteful number, since it uses less digits than its factorization.

136640314272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 136640314272 in words is "one hundred thirty-six billion, six hundred forty million, three hundred fourteen thousand, two hundred seventy-two".