137002160 has 80 divisors (see below), whose sum is σ = 337880160. Its totient is φ = 51517440.

The previous prime is 137002123. The next prime is 137002169. The reversal of 137002160 is 61200731.

It is a happy number.

137002160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (137002169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262700 + ... + 263220.

It is an arithmetic number, because the mean of its divisors is an integer number (4223502).

Almost surely, 2^137002160 is an apocalyptic number.

137002160 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 137002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168940080).

137002160 is an abundant number, since it is smaller than the sum of its proper divisors (200878000).

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

137002160 is a wasteful number, since it uses less digits than its factorization.

137002160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 137002160 is about 11704.7921809830. The cubic root of 137002160 is about 515.5163828023.

Adding to 137002160 its reverse (61200731), we get a palindrome (198202891).

The spelling of 137002160 in words is "one hundred thirty-seven million, two thousand, one hundred sixty".