137200 has 60 divisors (see below), whose sum is σ = 384400. Its totient is φ = 47040.

The previous prime is 137197. The next prime is 137201. The reversal of 137200 is 2731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

137200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19597 + ... + 19603.

2¹³⁷²⁰⁰ is an apocalyptic number.

137200 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 137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192200).

137200 is an abundant number, since it is smaller than the sum of its proper divisors (247200).

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

137200 is an equidigital number, since it uses as much as digits as its factorization.

137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 137200 is about 370.4051835490. The cubic root of 137200 is about 51.5764409810.

Adding to 137200 its reverse (2731), we get a palindrome (139931).

The spelling of 137200 in words is "one hundred thirty-seven thousand, two hundred".