180725904 has 240 divisors, whose sum is σ = 571963392. Its totient is φ = 55085184.

The previous prime is 180725903. The next prime is 180725917. The reversal of 180725904 is 409527081.

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 (180725903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3845209 + ... + 3845255.

Almost surely, 2^180725904 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 180725904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285981696).

180725904 is an abundant number, since it is smaller than the sum of its proper divisors (391237488).

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

180725904 is a wasteful number, since it uses less digits than its factorization.

180725904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 180725904 is about 13443.4334899980. The cubic root of 180725904 is about 565.3796013268.

The spelling of 180725904 in words is "one hundred eighty million, seven hundred twenty-five thousand, nine hundred four".