137660160 has 144 divisors (see below), whose sum is σ = 479767680. Its totient is φ = 33361920.

The previous prime is 137660137. The next prime is 137660161. The reversal of 137660160 is 61066731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137660161) 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, 40611 + ... + 43869.

It is an arithmetic number, because the mean of its divisors is an integer number (3331720).

Almost surely, 2^137660160 is an apocalyptic number.

137660160 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 137660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239883840).

137660160 is an abundant number, since it is smaller than the sum of its proper divisors (342107520).

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

137660160 is a wasteful number, since it uses less digits than its factorization.

137660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 137660160 is about 11732.8666573860. The cubic root of 137660160 is about 516.3403799496.

The spelling of 137660160 in words is "one hundred thirty-seven million, six hundred sixty thousand, one hundred sixty".