138265624 has 64 divisors (see below), whose sum is σ = 315394560. Its totient is φ = 55472640.

The previous prime is 138265553. The next prime is 138265637. The reversal of 138265624 is 426562831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295839 + ... + 296305.

It is an arithmetic number, because the mean of its divisors is an integer number (4928040).

Almost surely, 2^138265624 is an apocalyptic number.

138265624 is a gapful number since it is divisible by the number (14) 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 138265624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157697280).

138265624 is an abundant number, since it is smaller than the sum of its proper divisors (177128936).

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

138265624 is a wasteful number, since it uses less digits than its factorization.

138265624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 138265624 is about 11758.6403975970. The cubic root of 138265624 is about 517.0962711076.

The spelling of 138265624 in words is "one hundred thirty-eight million, two hundred sixty-five thousand, six hundred twenty-four".