138150400 has 120 divisors (see below), whose sum is σ = 351633744. Its totient is φ = 53760000.

The previous prime is 138150371. The next prime is 138150401. The reversal of 138150400 is 4051831.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138150401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550275 + ... + 550525.

Almost surely, 2^138150400 is an apocalyptic number.

138150400 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 138150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175816872).

138150400 is an abundant number, since it is smaller than the sum of its proper divisors (213483344).

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

138150400 is an equidigital number, since it uses as much as digits as its factorization.

138150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 138150400 is about 11753.7398303689. The cubic root of 138150400 is about 516.9525900354.

The spelling of 138150400 in words is "one hundred thirty-eight million, one hundred fifty thousand, four hundred".