136034380800 has 990 divisors, whose sum is σ = 537450076812. Its totient is φ = 33991557120.

The previous prime is 136034380733. The next prime is 136034380813. The reversal of 136034380800 is 8083430631.

It is a happy number.

136034380800 is a `hidden beast` number, since 1 + 3 + 603 + 43 + 8 + 0 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 599270287 + ... + 599270513.

Almost surely, 2^136034380800 is an apocalyptic number.

136034380800 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 136034380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268725038406).

136034380800 is an abundant number, since it is smaller than the sum of its proper divisors (401415696012).

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

136034380800 is a wasteful number, since it uses less digits than its factorization.

136034380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 136034380800 in words is "one hundred thirty-six billion, thirty-four million, three hundred eighty thousand, eight hundred".