138421625 has 24 divisors (see below), whose sum is σ = 178450584. Its totient is φ = 107121600.

The previous prime is 138421589. The next prime is 138421639. The reversal of 138421625 is 526124831.

It can be written as a sum of positive squares in 12 ways, for example, as 11363641 + 127057984 = 3371^2 + 11272^2 .

It is not a de Polignac number, because 138421625 - 2⁸ = 138421369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138421591 and 138421600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800039 + ... + 800211.

It is an arithmetic number, because the mean of its divisors is an integer number (7435441).

Almost surely, 2^138421625 is an apocalyptic number.

It is an amenable number.

138421625 is a deficient number, since it is larger than the sum of its proper divisors (40028959).

138421625 is an frugal number, since it uses more digits than its factorization.

138421625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 215 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 138421625 is about 11765.2719900562. The cubic root of 138421625 is about 517.2906728053.

The spelling of 138421625 in words is "one hundred thirty-eight million, four hundred twenty-one thousand, six hundred twenty-five".