180633132 has 24 divisors (see below), whose sum is σ = 468308400. Its totient is φ = 60211008.

The previous prime is 180633121. The next prime is 180633151. The reversal of 180633132 is 231336081.

It is a happy number.

180633132 is a `hidden beast` number, since 18 + 0 + 633 + 13 + 2 = 666.

It is a super-2 number, since 2×180633132² = 65256656752258848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 180633096 and 180633105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836157 + ... + 836372.

It is an arithmetic number, because the mean of its divisors is an integer number (19512850).

Almost surely, 2^180633132 is an apocalyptic number.

180633132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180633132 is an abundant number, since it is smaller than the sum of its proper divisors (287675268).

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

180633132 is a wasteful number, since it uses less digits than its factorization.

180633132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672542 (or 1672534 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 180633132 is about 13439.9825892744. The cubic root of 180633132 is about 565.2828426944.

The spelling of 180633132 in words is "one hundred eighty million, six hundred thirty-three thousand, one hundred thirty-two".