138025624324 has 135 divisors (see below), whose sum is σ = 300684540597. Its totient is φ = 55424541312.

The previous prime is 138025624301. The next prime is 138025624349. The reversal of 138025624324 is 423426520831.

It is a happy number.

The square root of 138025624324 is 371518.

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

It can be written as a sum of positive squares in only one way, i.e., 107459396100 + 30566228224 = 327810^2 + 174832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 618948877 + ... + 618949099.

Almost surely, 2^138025624324 is an apocalyptic number.

138025624324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138025624324 is the 371518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138025624324

138025624324 is an abundant number, since it is smaller than the sum of its proper divisors (162658916273).

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

138025624324 is an frugal number, since it uses more digits than its factorization.

138025624324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 138025624324 in words is "one hundred thirty-eight billion, twenty-five million, six hundred twenty-four thousand, three hundred twenty-four".