138331900 has 144 divisors (see below), whose sum is σ = 362824000. Its totient is φ = 45722880.

The previous prime is 138331891. The next prime is 138331933. The reversal of 138331900 is 9133831.

It is a super-2 number, since 2×138331900² = 38271429115220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269046 + ... + 1269154.

Almost surely, 2^138331900 is an apocalyptic number.

138331900 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 138331900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181412000).

138331900 is an abundant number, since it is smaller than the sum of its proper divisors (224492100).

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

138331900 is a wasteful number, since it uses less digits than its factorization.

138331900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 138331900 is about 11761.4582429221. The cubic root of 138331900 is about 517.1788792477.

The spelling of 138331900 in words is "one hundred thirty-eight million, three hundred thirty-one thousand, nine hundred".