137375016 has 64 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 43217856.

The previous prime is 137374987. The next prime is 137375027. The reversal of 137375016 is 610573731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190705 + ... + 191423.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2^137375016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137375016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

137375016 is an abundant number, since it is smaller than the sum of its proper divisors (225504984).

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

137375016 is a wasteful number, since it uses less digits than its factorization.

137375016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 137375016 is about 11720.7088522836. The cubic root of 137375016 is about 515.9836242625.

The spelling of 137375016 in words is "one hundred thirty-seven million, three hundred seventy-five thousand, sixteen".