138451200 has 108 divisors (see below), whose sum is σ = 456981168. Its totient is φ = 36915200.

The previous prime is 138451199. The next prime is 138451267. The reversal of 138451200 is 2154831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15595 + ... + 22805.

Almost surely, 2^138451200 is an apocalyptic number.

138451200 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 138451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228490584).

138451200 is an abundant number, since it is smaller than the sum of its proper divisors (318529968).

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

138451200 is an equidigital number, since it uses as much as digits as its factorization.

138451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 138451200 is about 11766.5287999478. The cubic root of 138451200 is about 517.3275114188.

The spelling of 138451200 in words is "one hundred thirty-eight million, four hundred fifty-one thousand, two hundred".