132583100 has 36 divisors (see below), whose sum is σ = 309839544. Its totient is φ = 48953280.

The previous prime is 132583097. The next prime is 132583103. The reversal of 132583100 is 1385231.

It is an interprime number because it is at equal distance from previous prime (132583097) and next prime (132583103).

It is a super-2 number, since 2×132583100² = 35156556811220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132583103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49694 + ... + 52293.

It is an arithmetic number, because the mean of its divisors is an integer number (8606654).

Almost surely, 2^132583100 is an apocalyptic number.

132583100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132583100 is an abundant number, since it is smaller than the sum of its proper divisors (177256444).

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

132583100 is a wasteful number, since it uses less digits than its factorization.

132583100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102014 (or 102007 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 132583100 is about 11514.4735007728. The cubic root of 132583100 is about 509.9129673349.

The spelling of 132583100 in words is "one hundred thirty-two million, five hundred eighty-three thousand, one hundred".