132400204100 has 36 divisors (see below), whose sum is σ = 304208943444. Its totient is φ = 49844782080.

The previous prime is 132400204081. The next prime is 132400204121. The reversal of 132400204100 is 1402004231.

It can be written as a sum of positive squares in 6 ways, for example, as 4253387524 + 128146816576 = 65218^2 + 357976^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38939537 + ... + 38942936.

It is an arithmetic number, because the mean of its divisors is an integer number (8450248429).

Almost surely, 2^132400204100 is an apocalyptic number.

132400204100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132400204100 is an abundant number, since it is smaller than the sum of its proper divisors (171808739344).

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

132400204100 is a wasteful number, since it uses less digits than its factorization.

132400204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77882504 (or 77882497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 132400204100 its reverse (1402004231), we get a palindrome (133802208331).

The spelling of 132400204100 in words is "one hundred thirty-two billion, four hundred million, two hundred four thousand, one hundred".