132736348900 has 27 divisors (see below), whose sum is σ = 288045783291. Its totient is φ = 53093082240.

The previous prime is 132736348873. The next prime is 132736348903. The reversal of 132736348900 is 9843637231.

The square root of 132736348900 is 364330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11292462756 + 121443886144 = 106266^2 + 348488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132736348903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3625084 + ... + 3661516.

Almost surely, 2^132736348900 is an apocalyptic number.

132736348900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132736348900 is the 364330-th square number.

It is an amenable number.

132736348900 is an abundant number, since it is smaller than the sum of its proper divisors (155309434391).

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

132736348900 is an frugal number, since it uses more digits than its factorization.

132736348900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72880 (or 36440 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

It can be divided in two parts, 132736 and 348900, that added together give a square (481636 = 694²).

The spelling of 132736348900 in words is "one hundred thirty-two billion, seven hundred thirty-six million, three hundred forty-eight thousand, nine hundred".