190138400 has 36 divisors (see below), whose sum is σ = 464177322. Its totient is φ = 76055040.

The previous prime is 190138397. The next prime is 190138411. The reversal of 190138400 is 4831091.

190138400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 75134224 + 115004176 = 8668^2 + 10724^2 .

It is a super-2 number, since 2×190138400² = 72305222309120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 190138400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118037 + ... + 119636.

Almost surely, 2^190138400 is an apocalyptic number.

190138400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190138400 is an abundant number, since it is smaller than the sum of its proper divisors (274038922).

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

190138400 is a wasteful number, since it uses less digits than its factorization.

190138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237693 (or 237680 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 190138400 is about 13789.0681338515. The cubic root of 190138400 is about 575.0292612708.

Adding to 190138400 its reverse (4831091), we get a palindrome (194969491).

The spelling of 190138400 in words is "one hundred ninety million, one hundred thirty-eight thousand, four hundred".