137375120 has 40 divisors (see below), whose sum is σ = 320463864. Its totient is φ = 54766592.

The previous prime is 137375107. The next prime is 137375129. The reversal of 137375120 is 21573731.

It can be written as a sum of positive squares in 4 ways, for example, as 5400976 + 131974144 = 2324^2 + 11488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (137375129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22652 + ... + 28068.

Almost surely, 2^137375120 is an apocalyptic number.

137375120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137375120 is an abundant number, since it is smaller than the sum of its proper divisors (183088744).

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

137375120 is a wasteful number, since it uses less digits than its factorization.

137375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 137375120 is about 11720.7132888745. The cubic root of 137375120 is about 515.9837544712.

The spelling of 137375120 in words is "one hundred thirty-seven million, three hundred seventy-five thousand, one hundred twenty".