136313259264000 has 7680 divisors, whose sum is σ = 673190764646400. Its totient is φ = 26665235251200.

The previous prime is 136313259263983. The next prime is 136313259264041. The reversal of 136313259264000 is 462952313631.

136313259264000 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 13 + 2 + 592 + 6 + 40 + 0 + 0 = 666.

136313259264000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2571948287974 + ... + 2571948288026.

It is an arithmetic number, because the mean of its divisors is an integer number (87655047480).

Almost surely, 2^{136313259264000} is an apocalyptic number.

136313259264000 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 136313259264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336595382323200).

136313259264000 is an abundant number, since it is smaller than the sum of its proper divisors (536877505382400).

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

136313259264000 is a wasteful number, since it uses less digits than its factorization.

136313259264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 136313259264000 in words is "one hundred thirty-six trillion, three hundred thirteen billion, two hundred fifty-nine million, two hundred sixty-four thousand".