136008800 has 72 divisors (see below), whose sum is σ = 334103616. Its totient is φ = 54064640.

The previous prime is 136008787. The next prime is 136008809. The reversal of 136008800 is 8800631.

It is a self number, because there is not a number n which added to its sum of digits gives 136008800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136008809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157169 + ... + 158031.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2^136008800 is an apocalyptic number.

136008800 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 136008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167051808).

136008800 is an abundant number, since it is smaller than the sum of its proper divisors (198094816).

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

136008800 is a wasteful number, since it uses less digits than its factorization.

136008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 136008800 is about 11662.2810804748. The cubic root of 136008800 is about 514.2674096954.

The spelling of 136008800 in words is "one hundred thirty-six million, eight thousand, eight hundred".