137379800 has 48 divisors (see below), whose sum is σ = 321594000. Its totient is φ = 54576000.

The previous prime is 137379799. The next prime is 137379841. The reversal of 137379800 is 8973731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27926 + ... + 32474.

It is an arithmetic number, because the mean of its divisors is an integer number (6699875).

Almost surely, 2^137379800 is an apocalyptic number.

137379800 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 137379800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160797000).

137379800 is an abundant number, since it is smaller than the sum of its proper divisors (184214200).

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

137379800 is a wasteful number, since it uses less digits than its factorization.

137379800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 137379800 is about 11720.9129337266. The cubic root of 137379800 is about 515.9896137965.

The spelling of 137379800 in words is "one hundred thirty-seven million, three hundred seventy-nine thousand, eight hundred".