136897024320 has 336 divisors, whose sum is σ = 558068853888. Its totient is φ = 31290624000.

The previous prime is 136897024289. The next prime is 136897024339. The reversal of 136897024320 is 23420798631.

136897024320 is a `hidden beast` number, since 136 + 89 + 7 + 0 + 2 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 418570 + ... + 670070.

It is an arithmetic number, because the mean of its divisors is an integer number (1660919208).

Almost surely, 2^136897024320 is an apocalyptic number.

136897024320 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 136897024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279034426944).

136897024320 is an abundant number, since it is smaller than the sum of its proper divisors (421171829568).

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

136897024320 is an equidigital number, since it uses as much as digits as its factorization.

136897024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251540 (or 251518 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 136897024320 in words is "one hundred thirty-six billion, eight hundred ninety-seven million, twenty-four thousand, three hundred twenty".