137375600 has 60 divisors (see below), whose sum is σ = 335696520. Its totient is φ = 54009600.

The previous prime is 137375597. The next prime is 137375617. The reversal of 137375600 is 6573731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20690 + ... + 26510.

It is an arithmetic number, because the mean of its divisors is an integer number (5594942).

Almost surely, 2^137375600 is an apocalyptic number.

137375600 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 137375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167848260).

137375600 is an abundant number, since it is smaller than the sum of its proper divisors (198320920).

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

137375600 is a wasteful number, since it uses less digits than its factorization.

137375600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 137375600 is about 11720.7337654261. The cubic root of 137375600 is about 515.9843554338.

The spelling of 137375600 in words is "one hundred thirty-seven million, three hundred seventy-five thousand, six hundred".