136946649600 has 1080 divisors, whose sum is σ = 537194752380. Its totient is φ = 33283768320.

The previous prime is 136946649583. The next prime is 136946649643. The reversal of 136946649600 is 6946649631.

136946649600 is a `hidden beast` number, since 1 + 3 + 6 + 94 + 66 + 496 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 57530900736 + 79415748864 = 239856^2 + 281808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1538726356 + ... + 1538726444.

Almost surely, 2^136946649600 is an apocalyptic number.

136946649600 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 136946649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268597376190).

136946649600 is an abundant number, since it is smaller than the sum of its proper divisors (400248102780).

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

136946649600 is a wasteful number, since it uses less digits than its factorization.

136946649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 136946649600 in words is "one hundred thirty-six billion, nine hundred forty-six million, six hundred forty-nine thousand, six hundred".