136296704640 has 256 divisors, whose sum is σ = 465592561920. Its totient is φ = 33825521664.

The previous prime is 136296704581. The next prime is 136296704653. The reversal of 136296704640 is 46407692631.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 136296704640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592212 + ... + 1675628.

It is an arithmetic number, because the mean of its divisors is an integer number (1818720945).

Almost surely, 2^136296704640 is an apocalyptic number.

136296704640 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 136296704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232796280960).

136296704640 is an abundant number, since it is smaller than the sum of its proper divisors (329295857280).

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

136296704640 is a wasteful number, since it uses less digits than its factorization.

136296704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83499 (or 83487 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 136296704640 in words is "one hundred thirty-six billion, two hundred ninety-six million, seven hundred four thousand, six hundred forty".