189114400 has 72 divisors (see below), whose sum is σ = 474227460. Its totient is φ = 73589760.

The previous prime is 189114397. The next prime is 189114403. The reversal of 189114400 is 4411981.

It is an interprime number because it is at equal distance from previous prime (189114397) and next prime (189114403).

It can be written as a sum of positive squares in 6 ways, for example, as 44249104 + 144865296 = 6652^2 + 12036^2 .

It is not an unprimeable number, because it can be changed into a prime (189114403) 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, 26406 + ... + 32794.

Almost surely, 2^189114400 is an apocalyptic number.

189114400 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 189114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237113730).

189114400 is an abundant number, since it is smaller than the sum of its proper divisors (285113060).

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

189114400 is a wasteful number, since it uses less digits than its factorization.

189114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 189114400 is about 13751.8871432251. The cubic root of 189114400 is about 573.9951194816.

The spelling of 189114400 in words is "one hundred eighty-nine million, one hundred fourteen thousand, four hundred".