138762624 has 384 divisors, whose sum is σ = 522305280. Its totient is φ = 31518720.

The previous prime is 138762623. The next prime is 138762641. The reversal of 138762624 is 426267831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138762623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7303287 + ... + 7303305.

It is an arithmetic number, because the mean of its divisors is an integer number (1360170).

Almost surely, 2^138762624 is an apocalyptic number.

138762624 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 138762624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261152640).

138762624 is an abundant number, since it is smaller than the sum of its proper divisors (383542656).

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

138762624 is a wasteful number, since it uses less digits than its factorization.

138762624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 138762624 is about 11779.7548361585. The cubic root of 138762624 is about 517.7151029982.

The spelling of 138762624 in words is "one hundred thirty-eight million, seven hundred sixty-two thousand, six hundred twenty-four".