138411900 has 324 divisors, whose sum is σ = 504259392. Its totient is φ = 31680000.

The previous prime is 138411899. The next prime is 138411901. The reversal of 138411900 is 9114831.

It is an interprime number because it is at equal distance from previous prime (138411899) and next prime (138411901).

It is a super-2 number, since 2×138411900² = 38315708123220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138411901) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3375880 + ... + 3375920.

Almost surely, 2^138411900 is an apocalyptic number.

138411900 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 138411900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252129696).

138411900 is an abundant number, since it is smaller than the sum of its proper divisors (365847492).

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

138411900 is a wasteful number, since it uses less digits than its factorization.

138411900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 138411900 is about 11764.8586901841. The cubic root of 138411900 is about 517.2785582011.

The spelling of 138411900 in words is "one hundred thirty-eight million, four hundred eleven thousand, nine hundred".