137400 has 48 divisors (see below), whose sum is σ = 427800. Its totient is φ = 36480.

The previous prime is 137399. The next prime is 137413. The reversal of 137400 is 4731.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 137400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486 + ... + 714.

2¹³⁷⁴⁰⁰ is an apocalyptic number.

137400 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 137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213900).

137400 is an abundant number, since it is smaller than the sum of its proper divisors (290400).

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

137400 is a wasteful number, since it uses less digits than its factorization.

137400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 137400 is about 370.6750598570. The cubic root of 137400 is about 51.6014902520.

It can be divided in two parts, 1 and 37400, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 137400 in words is "one hundred thirty-seven thousand, four hundred".