137850 has 24 divisors (see below), whose sum is σ = 342240. Its totient is φ = 36720.

The previous prime is 137849. The next prime is 137867. The reversal of 137850 is 58731.

137850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 1 + 3⁹ + 8³ + 7⁶ + 5 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 137850.

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, 310 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (14260).

2¹³⁷⁸⁵⁰ is an apocalyptic number.

137850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137850 is an abundant number, since it is smaller than the sum of its proper divisors (204390).

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

137850 is a wasteful number, since it uses less digits than its factorization.

137850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 137850 is about 371.2815643147. The cubic root of 137850 is about 51.6577623689.

The spelling of 137850 in words is "one hundred thirty-seven thousand, eight hundred fifty".