138458400 has 144 divisors (see below), whose sum is σ = 465470208. Its totient is φ = 35712000.

The previous prime is 138458363. The next prime is 138458401. The reversal of 138458400 is 4854831.

It is not an unprimeable number, because it can be changed into a prime (138458401) 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, 73470 + ... + 75330.

It is an arithmetic number, because the mean of its divisors is an integer number (3232432).

Almost surely, 2^138458400 is an apocalyptic number.

138458400 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 138458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232735104).

138458400 is an abundant number, since it is smaller than the sum of its proper divisors (327011808).

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

138458400 is a wasteful number, since it uses less digits than its factorization.

138458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 138458400 is about 11766.8347485634. The cubic root of 138458400 is about 517.3364789431.

The spelling of 138458400 in words is "one hundred thirty-eight million, four hundred fifty-eight thousand, four hundred".