136138800 has 240 divisors, whose sum is σ = 525244160. Its totient is φ = 29445120.

The previous prime is 136138787. The next prime is 136138853. The reversal of 136138800 is 8831631.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159174 + ... + 160026.

Almost surely, 2^136138800 is an apocalyptic number.

136138800 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 136138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262622080).

136138800 is an abundant number, since it is smaller than the sum of its proper divisors (389105360).

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

136138800 is a wasteful number, since it uses less digits than its factorization.

136138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 136138800 is about 11667.8532729890. The cubic root of 136138800 is about 514.4312066315.

The spelling of 136138800 in words is "one hundred thirty-six million, one hundred thirty-eight thousand, eight hundred".