189131904 has 192 divisors, whose sum is σ = 597575160. Its totient is φ = 57065472.

The previous prime is 189131869. The next prime is 189131941. The reversal of 189131904 is 409131981.

It can be written as a sum of positive squares in 4 ways, for example, as 171086400 + 18045504 = 13080^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×189131904² = 71541754221330432, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1093162 + ... + 1093334.

Almost surely, 2^189131904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298787580).

189131904 is an abundant number, since it is smaller than the sum of its proper divisors (408443256).

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

189131904 is a wasteful number, since it uses less digits than its factorization.

189131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 189131904 is about 13752.5235502434. The cubic root of 189131904 is about 574.0128281641.

The spelling of 189131904 in words is "one hundred eighty-nine million, one hundred thirty-one thousand, nine hundred four".