137282160 has 80 divisors (see below), whose sum is σ = 430034976. Its totient is φ = 36225024.

The previous prime is 137282153. The next prime is 137282179. The reversal of 137282160 is 61282731.

137282160 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20332 + ... + 26228.

Almost surely, 2^137282160 is an apocalyptic number.

137282160 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 137282160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215017488).

137282160 is an abundant number, since it is smaller than the sum of its proper divisors (292752816).

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

137282160 is a wasteful number, since it uses less digits than its factorization.

137282160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 137282160 is about 11716.7469888190. The cubic root of 137282160 is about 515.8673416565.

The spelling of 137282160 in words is "one hundred thirty-seven million, two hundred eighty-two thousand, one hundred sixty".