137812500 has 216 divisors, whose sum is σ = 506541672. Its totient is φ = 31500000.

The previous prime is 137812483. The next prime is 137812511. The reversal of 137812500 is 5218731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

137812500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 136328976 + 1483524 = 11676^2 + 1218^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19687497 + ... + 19687503.

Almost surely, 2^137812500 is an apocalyptic number.

137812500 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 137812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253270836).

137812500 is an abundant number, since it is smaller than the sum of its proper divisors (368729172).

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

137812500 is an frugal number, since it uses more digits than its factorization.

137812500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 137812500 is about 11739.3568818739. The cubic root of 137812500 is about 516.5307770733.

The spelling of 137812500 in words is "one hundred thirty-seven million, eight hundred twelve thousand, five hundred".