137325120 has 112 divisors (see below), whose sum is σ = 444398400. Its totient is φ = 35915776.

The previous prime is 137325109. The next prime is 137325137. The reversal of 137325120 is 21523731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49531 + ... + 52229.

Almost surely, 2^137325120 is an apocalyptic number.

137325120 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 137325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222199200).

137325120 is an abundant number, since it is smaller than the sum of its proper divisors (307073280).

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

137325120 is a wasteful number, since it uses less digits than its factorization.

137325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 137325120 is about 11718.5801187687. The cubic root of 137325120 is about 515.9211465347.

Adding to 137325120 its reverse (21523731), we get a palindrome (158848851).

The spelling of 137325120 in words is "one hundred thirty-seven million, three hundred twenty-five thousand, one hundred twenty".