180362125 has 16 divisors (see below), whose sum is σ = 227101680. Its totient is φ = 143012800.

The previous prime is 180362111. The next prime is 180362137. The reversal of 180362125 is 521263081.

The cubic root of 180362125 is 565.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 8 ways, for example, as 152250921 + 28111204 = 12339^2 + 5302^2 .

It is not a de Polignac number, because 180362125 - 2⁵ = 180362093 is a prime.

It is a super-2 number, since 2×180362125² = 65060992269031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 180362093 and 180362102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596069 + ... + 1596181.

It is an arithmetic number, because the mean of its divisors is an integer number (14193855).

Almost surely, 2^180362125 is an apocalyptic number.

It is an amenable number.

180362125 is a deficient number, since it is larger than the sum of its proper divisors (46739555).

180362125 is an frugal number, since it uses more digits than its factorization.

180362125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 180362125 is about 13429.8966861253.

The spelling of 180362125 in words is "one hundred eighty million, three hundred sixty-two thousand, one hundred twenty-five".