189125280 has 120 divisors (see below), whose sum is σ = 667500372. Its totient is φ = 50429952.

The previous prime is 189125273. The next prime is 189125303. The reversal of 189125280 is 82521981.

It can be written as a sum of positive squares in 2 ways, for example, as 170772624 + 18352656 = 13068^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5664 + ... + 20256.

Almost surely, 2^189125280 is an apocalyptic number.

189125280 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 189125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333750186).

189125280 is an abundant number, since it is smaller than the sum of its proper divisors (478375092).

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

189125280 is a wasteful number, since it uses less digits than its factorization.

189125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14620 (or 14603 counting only the distinct ones).

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

The square root of 189125280 is about 13752.2827196070. The cubic root of 189125280 is about 574.0061268351.

The spelling of 189125280 in words is "one hundred eighty-nine million, one hundred twenty-five thousand, two hundred eighty".