132100020 has 72 divisors (see below), whose sum is σ = 431534376. Its totient is φ = 32516352.

The previous prime is 132100019. The next prime is 132100037. The reversal of 132100020 is 20001231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 128459556 = 1908^2 + 11334^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 132099975 and 132100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25887 + ... + 30566.

It is an arithmetic number, because the mean of its divisors is an integer number (5993533).

Almost surely, 2^132100020 is an apocalyptic number.

132100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100020 is an abundant number, since it is smaller than the sum of its proper divisors (299434356).

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

132100020 is a wasteful number, since it uses less digits than its factorization.

132100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56481 (or 56476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 132100020 is about 11493.4772806144. The cubic root of 132100020 is about 509.2929070659.

Adding to 132100020 its reverse (20001231), we get a palindrome (152101251).

The spelling of 132100020 in words is "one hundred thirty-two million, one hundred thousand, twenty".