139838400 has 420 divisors, whose sum is σ = 560219352. Its totient is φ = 34007040.

The previous prime is 139838393. The next prime is 139838441. The reversal of 139838400 is 4838931.

It is a super-2 number, since 2×139838400² = 39109556229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1684759 + ... + 1684841.

Almost surely, 2^139838400 is an apocalyptic number.

139838400 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 139838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280109676).

139838400 is an abundant number, since it is smaller than the sum of its proper divisors (420380952).

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

139838400 is a wasteful number, since it uses less digits than its factorization.

139838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 139838400 is about 11825.3287480729. The cubic root of 139838400 is about 519.0495458731.

The spelling of 139838400 in words is "one hundred thirty-nine million, eight hundred thirty-eight thousand, four hundred".