137249324160 has 512 divisors, whose sum is σ = 517534617600. Its totient is φ = 30612307968.

The previous prime is 137249324089. The next prime is 137249324167. The reversal of 137249324160 is 61423942731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137249324167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10901229 + ... + 10913811.

It is an arithmetic number, because the mean of its divisors is an integer number (1010809800).

Almost surely, 2^137249324160 is an apocalyptic number.

137249324160 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 137249324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258767308800).

137249324160 is an abundant number, since it is smaller than the sum of its proper divisors (380285293440).

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

137249324160 is a wasteful number, since it uses less digits than its factorization.

137249324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12660 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 137249324160 in words is "one hundred thirty-seven billion, two hundred forty-nine million, three hundred twenty-four thousand, one hundred sixty".