138424920 has 128 divisors (see below), whose sum is σ = 433520640. Its totient is φ = 35320320.

The previous prime is 138424841. The next prime is 138424939. The reversal of 138424920 is 29424831.

138424920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138424920² = 38322916954012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472294 + ... + 472586.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^138424920 is an apocalyptic number.

138424920 is a gapful number since it is divisible by the number (10) 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 138424920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

138424920 is an abundant number, since it is smaller than the sum of its proper divisors (295095720).

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

138424920 is a wasteful number, since it uses less digits than its factorization.

138424920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 138424920 is about 11765.4120199847. The cubic root of 138424920 is about 517.2947773163.

The spelling of 138424920 in words is "one hundred thirty-eight million, four hundred twenty-four thousand, nine hundred twenty".