136918393920 has 672 divisors, whose sum is σ = 588787280640. Its totient is φ = 28371271680.

The previous prime is 136918393889. The next prime is 136918394017. The reversal of 136918393920 is 29393819631.

It is a happy number.

136918393920 is a `hidden beast` number, since 13 + 69 + 183 + 9 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112875234 + ... + 112876446.

Almost surely, 2^136918393920 is an apocalyptic number.

136918393920 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 136918393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294393640320).

136918393920 is an abundant number, since it is smaller than the sum of its proper divisors (451868886720).

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

136918393920 is a wasteful number, since it uses less digits than its factorization.

136918393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 136918393920 in words is "one hundred thirty-six billion, nine hundred eighteen million, three hundred ninety-three thousand, nine hundred twenty".