138514400 has 108 divisors (see below), whose sum is σ = 349961976. Its totient is φ = 53529600.

The previous prime is 138514391. The next prime is 138514403. The reversal of 138514400 is 4415831.

It is a self number, because there is not a number n which added to its sum of digits gives 138514400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138514403) 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 17 ways as a sum of consecutive naturals, for example, 1344749 + ... + 1344851.

Almost surely, 2^138514400 is an apocalyptic number.

138514400 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 138514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174980988).

138514400 is an abundant number, since it is smaller than the sum of its proper divisors (211447576).

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

138514400 is a wasteful number, since it uses less digits than its factorization.

138514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 138514400 is about 11769.2140774140. The cubic root of 138514400 is about 517.4062157447.

The spelling of 138514400 in words is "one hundred thirty-eight million, five hundred fourteen thousand, four hundred".