137693160 has 288 divisors, whose sum is σ = 513513000. Its totient is φ = 31933440.

The previous prime is 137693141. The next prime is 137693161. The reversal of 137693160 is 61396731.

It can be written as a sum of positive squares in 4 ways, for example, as 121484484 + 16208676 = 11022^2 + 4026^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137693161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263186 + ... + 1263294.

Almost surely, 2^137693160 is an apocalyptic number.

137693160 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 137693160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256756500).

137693160 is an abundant number, since it is smaller than the sum of its proper divisors (375819840).

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

137693160 is a wasteful number, since it uses less digits than its factorization.

137693160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 137693160 is about 11734.2728790496. The cubic root of 137693160 is about 516.3816358249.

The spelling of 137693160 in words is "one hundred thirty-seven million, six hundred ninety-three thousand, one hundred sixty".