136073916000 has 1728 divisors, whose sum is σ = 593060045760. Its totient is φ = 29245440000.

The previous prime is 136073915977. The next prime is 136073916001. The reversal of 136073916000 is 619370631.

136073916000 is a `hidden beast` number, since 1 + 3 + 607 + 39 + 16 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×136073916000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136073916001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3318875980 + ... + 3318876020.

It is an arithmetic number, because the mean of its divisors is an integer number (343206045).

Almost surely, 2^136073916000 is an apocalyptic number.

136073916000 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 136073916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296530022880).

136073916000 is an abundant number, since it is smaller than the sum of its proper divisors (456986129760).

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

136073916000 is a wasteful number, since it uses less digits than its factorization.

136073916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 136073916000 in words is "one hundred thirty-six billion, seventy-three million, nine hundred sixteen thousand".