132546964900 has 135 divisors (see below), whose sum is σ = 335996982881. Its totient is φ = 45383509920.

The previous prime is 132546964889. The next prime is 132546964919. The reversal of 132546964900 is 9469645231.

The square root of 132546964900 is 364070.

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

It can be written as a sum of positive squares in only one way, i.e., 47716907364 + 84830057536 = 218442^2 + 291256^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 178393929 + ... + 178394671.

Almost surely, 2^132546964900 is an apocalyptic number.

132546964900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132546964900 is the 364070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132546964900

132546964900 is an abundant number, since it is smaller than the sum of its proper divisors (203450017981).

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

132546964900 is an frugal number, since it uses more digits than its factorization.

132546964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 132546964900 by its sum of digits (49), we get a square (6494801280100 = 2548490²).

132546964900 divided by its sum of digits (49) gives a square (2705040100 = 52010²).

The spelling of 132546964900 in words is "one hundred thirty-two billion, five hundred forty-six million, nine hundred sixty-four thousand, nine hundred".