137625000120 has 384 divisors, whose sum is σ = 466637371200. Its totient is φ = 35151667200.

The previous prime is 137625000103. The next prime is 137625000127. The reversal of 137625000120 is 21000526731.

It is a happy number.

137625000120 is a `hidden beast` number, since 1 + 37 + 6 + 2 + 500 + 0 + 120 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137625000127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210757714 + ... + 210758366.

Almost surely, 2^137625000120 is an apocalyptic number.

137625000120 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 137625000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233318685600).

137625000120 is an abundant number, since it is smaller than the sum of its proper divisors (329012371080).

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

137625000120 is a wasteful number, since it uses less digits than its factorization.

137625000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 137625000120 its reverse (21000526731), we get a palindrome (158625526851).

The spelling of 137625000120 in words is "one hundred thirty-seven billion, six hundred twenty-five million, one hundred twenty", and thus it is an aban number.