132661152 has 240 divisors, whose sum is σ = 437133312. Its totient is φ = 39191040.

The previous prime is 132661127. The next prime is 132661163. The reversal of 132661152 is 251166231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044513 + ... + 1044639.

Almost surely, 2^132661152 is an apocalyptic number.

132661152 is a gapful number since it is divisible by the number (12) 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 132661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218566656).

132661152 is an abundant number, since it is smaller than the sum of its proper divisors (304472160).

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

132661152 is a wasteful number, since it uses less digits than its factorization.

132661152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 132661152 is about 11517.8623016600. The cubic root of 132661152 is about 510.0130100487.

The spelling of 132661152 in words is "one hundred thirty-two million, six hundred sixty-one thousand, one hundred fifty-two".