138419220 has 48 divisors (see below), whose sum is σ = 398055168. Its totient is φ = 35913600.

The previous prime is 138419213. The next prime is 138419249. The reversal of 138419220 is 22914831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28956 + ... + 33395.

It is an arithmetic number, because the mean of its divisors is an integer number (8292816).

Almost surely, 2^138419220 is an apocalyptic number.

138419220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138419220 is an abundant number, since it is smaller than the sum of its proper divisors (259635948).

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

138419220 is a wasteful number, since it uses less digits than its factorization.

138419220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62400 (or 62398 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 138419220 is about 11765.1697820303. The cubic root of 138419220 is about 517.2876769072.

The spelling of 138419220 in words is "one hundred thirty-eight million, four hundred nineteen thousand, two hundred twenty".