137168800 has 72 divisors (see below), whose sum is σ = 345727872. Its totient is φ = 53088000.

The previous prime is 137168797. The next prime is 137168813. The reversal of 137168800 is 8861731.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22035 + ... + 27565.

It is an arithmetic number, because the mean of its divisors is an integer number (4801776).

Almost surely, 2^137168800 is an apocalyptic number.

137168800 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 137168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172863936).

137168800 is an abundant number, since it is smaller than the sum of its proper divisors (208559072).

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

137168800 is a wasteful number, since it uses less digits than its factorization.

137168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 137168800 is about 11711.9084695877. The cubic root of 137168800 is about 515.7253110013.

The spelling of 137168800 in words is "one hundred thirty-seven million, one hundred sixty-eight thousand, eight hundred".