136161334800 has 240 divisors, whose sum is σ = 490771168000. Its totient is φ = 35849848320.

The previous prime is 136161334733. The next prime is 136161334801. The reversal of 136161334800 is 8433161631.

136161334800 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 613 + 34 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (136161334801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773406 + ... + 932994.

Almost surely, 2^136161334800 is an apocalyptic number.

136161334800 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 136161334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245385584000).

136161334800 is an abundant number, since it is smaller than the sum of its proper divisors (354609833200).

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

136161334800 is a wasteful number, since it uses less digits than its factorization.

136161334800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159695 (or 159678 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 136161334800 in words is "one hundred thirty-six billion, one hundred sixty-one million, three hundred thirty-four thousand, eight hundred".