137625600000 has 528 divisors, whose sum is σ = 524254320576. Its totient is φ = 31457280000.

The previous prime is 137625599999. The next prime is 137625600017. The reversal of 137625600000 is 6526731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8000 × 2240 × 7680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19660799997 + ... + 19660800003.

Almost surely, 2^137625600000 is an apocalyptic number.

137625600000 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 137625600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262127160288).

137625600000 is an abundant number, since it is smaller than the sum of its proper divisors (386628720576).

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

137625600000 is an frugal number, since it uses more digits than its factorization.

137625600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 137625600000 in words is "one hundred thirty-seven billion, six hundred twenty-five million, six hundred thousand".