138241400 has 96 divisors (see below), whose sum is σ = 362119680. Its totient is φ = 48624000.

The previous prime is 138241391. The next prime is 138241403. The reversal of 138241400 is 4142831.

138241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138241400² = 38221369347920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138241403) 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, 67187 + ... + 69213.

It is an arithmetic number, because the mean of its divisors is an integer number (3772080).

Almost surely, 2^138241400 is an apocalyptic number.

138241400 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 138241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

138241400 is an abundant number, since it is smaller than the sum of its proper divisors (223878280).

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

138241400 is a wasteful number, since it uses less digits than its factorization.

138241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 138241400 is about 11757.6103014175. The cubic root of 138241400 is about 517.0660710928.

The spelling of 138241400 in words is "one hundred thirty-eight million, two hundred forty-one thousand, four hundred".