138955824 has 300 divisors, whose sum is σ = 497472624. Its totient is φ = 36661248.

The previous prime is 138955823. The next prime is 138955837. The reversal of 138955824 is 428559831.

138955824 is a `hidden beast` number, since 13 + 89 + 558 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138955824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138955823) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2621782 + ... + 2621834.

Almost surely, 2^138955824 is an apocalyptic number.

138955824 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 138955824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248736312).

138955824 is an abundant number, since it is smaller than the sum of its proper divisors (358516800).

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

138955824 is a wasteful number, since it uses less digits than its factorization.

138955824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 138955824 is about 11787.9524939660. The cubic root of 138955824 is about 517.9552641459.

The spelling of 138955824 in words is "one hundred thirty-eight million, nine hundred fifty-five thousand, eight hundred twenty-four".