137993675625 has 225 divisors, whose sum is σ = 281143404531. Its totient is φ = 67400424000.

The previous prime is 137993675623. The next prime is 137993675639. The reversal of 137993675625 is 526576399731.

The square root of 137993675625 is 371475.

It is a perfect power (a square), and thus also a powerful number.

137993675625 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 9 + 3 + 67 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 136300517721 + 1693157904 = 369189^2 + 41148^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 137993675625 - 2¹ = 137993675623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137993675623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1086564312 + ... + 1086564438.

Almost surely, 2^137993675625 is an apocalyptic number.

137993675625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137993675625 is the 371475-th square number.

137993675625 is the 185738-th centered octagonal number.

It is an amenable number.

137993675625 is an abundant number, since it is smaller than the sum of its proper divisors (143149728906).

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

137993675625 is an frugal number, since it uses more digits than its factorization.

137993675625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 148 counting only the distinct ones).

The product of its digits is 64297800, while the sum is 63.

The spelling of 137993675625 in words is "one hundred thirty-seven billion, nine hundred ninety-three million, six hundred seventy-five thousand, six hundred twenty-five".