138230400 has 576 divisors, whose sum is σ = 605586240. Its totient is φ = 27033600.

The previous prime is 138230399. The next prime is 138230401. The reversal of 138230400 is 4032831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138230399) and next prime (138230401).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (138230401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8131192 + ... + 8131208.

It is an arithmetic number, because the mean of its divisors is an integer number (1051365).

Almost surely, 2^138230400 is an apocalyptic number.

138230400 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 138230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302793120).

138230400 is an abundant number, since it is smaller than the sum of its proper divisors (467355840).

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

138230400 is a wasteful number, since it uses less digits than its factorization.

138230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 138230400 is about 11757.1425099809. The cubic root of 138230400 is about 517.0523562490.

The spelling of 138230400 in words is "one hundred thirty-eight million, two hundred thirty thousand, four hundred".