189158400 has 198 divisors, whose sum is σ = 678101502. Its totient is φ = 50380800.

The previous prime is 189158399. The next prime is 189158401. The reversal of 189158400 is 4851981.

It is an interprime number because it is at equal distance from previous prime (189158399) and next prime (189158401).

It can be written as a sum of positive squares in 3 ways, for example, as 3326976 + 185831424 = 1824^2 + 13632^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189158401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229990 + ... + 230810.

Almost surely, 2^189158400 is an apocalyptic number.

189158400 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 189158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339050751).

189158400 is an abundant number, since it is smaller than the sum of its proper divisors (488943102).

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

189158400 is a wasteful number, since it uses less digits than its factorization.

189158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 189158400 is about 13753.4868306186. The cubic root of 189158400 is about 574.0396319157.

The spelling of 189158400 in words is "one hundred eighty-nine million, one hundred fifty-eight thousand, four hundred".