136366391874960 has 800 divisors, whose sum is σ = 511562669143680. Its totient is φ = 33467925897216.

The previous prime is 136366391874953. The next prime is 136366391875001. The reversal of 136366391874960 is 69478193663631.

It is a happy number.

136366391874960 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 66 + 391 + 87 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 76310235187 + ... + 76310236973.

Almost surely, 2^{136366391874960} is an apocalyptic number.

136366391874960 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 136366391874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255781334571840).

136366391874960 is an abundant number, since it is smaller than the sum of its proper divisors (375196277268720).

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

136366391874960 is a wasteful number, since it uses less digits than its factorization.

136366391874960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 136366391874960 in words is "one hundred thirty-six trillion, three hundred sixty-six billion, three hundred ninety-one million, eight hundred seventy-four thousand, nine hundred sixty".