137616660 has 72 divisors (see below), whose sum is σ = 423704736. Its totient is φ = 36146880.

The previous prime is 137616643. The next prime is 137616667. The reversal of 137616660 is 66616731.

137616660 = 215² + 216² + ... + 750².

137616660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137616667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6355 + ... + 17765.

It is an arithmetic number, because the mean of its divisors is an integer number (5884788).

Almost surely, 2^137616660 is an apocalyptic number.

137616660 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 137616660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211852368).

137616660 is an abundant number, since it is smaller than the sum of its proper divisors (286088076).

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

137616660 is a wasteful number, since it uses less digits than its factorization.

137616660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 137616660 is about 11731.0127440047. The cubic root of 137616660 is about 516.2859871299.

The spelling of 137616660 in words is "one hundred thirty-seven million, six hundred sixteen thousand, six hundred sixty".