137160 has 64 divisors (see below), whose sum is σ = 460800. Its totient is φ = 36288.

The previous prime is 137153. The next prime is 137177. The reversal of 137160 is 61731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2¹³⁷¹⁶⁰ is an apocalyptic number.

137160 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 137160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

137160 is an abundant number, since it is smaller than the sum of its proper divisors (323640).

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

137160 is a wasteful number, since it uses less digits than its factorization.

137160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137160 is about 370.3511846883. The cubic root of 137160 is about 51.5714282060.

Adding to 137160 its reverse (61731), we get a palindrome (198891).

It can be divided in two parts, 1371 and 60, that added together give a triangular number (1431 = T₅₃).

The spelling of 137160 in words is "one hundred thirty-seven thousand, one hundred sixty".