138212424 has 96 divisors (see below), whose sum is σ = 434291520. Its totient is φ = 38890368.

The previous prime is 138212423. The next prime is 138212471. The reversal of 138212424 is 424212831.

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

It is not an unprimeable number, because it can be changed into a prime (138212423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31722 + ... + 35814.

It is an arithmetic number, because the mean of its divisors is an integer number (4523870).

Almost surely, 2^138212424 is an apocalyptic number.

138212424 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 138212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217145760).

138212424 is an abundant number, since it is smaller than the sum of its proper divisors (296079096).

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

138212424 is a wasteful number, since it uses less digits than its factorization.

138212424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4172 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 138212424 is about 11756.3780136571. The cubic root of 138212424 is about 517.0299421344.

The spelling of 138212424 in words is "one hundred thirty-eight million, two hundred twelve thousand, four hundred twenty-four".