132343164100 has 81 divisors (see below), whose sum is σ = 334136252583. Its totient is φ = 45366068160.

The previous prime is 132343164073. The next prime is 132343164113. The reversal of 132343164100 is 1461343231.

The square root of 132343164100 is 363790.

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 4453960644 + 127889203456 = 66738^2 + 357616^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25462702 + ... + 25467898.

Almost surely, 2^132343164100 is an apocalyptic number.

132343164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132343164100 is the 363790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132343164100

132343164100 is an abundant number, since it is smaller than the sum of its proper divisors (201793088483).

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

132343164100 is an frugal number, since it uses more digits than its factorization.

132343164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10422 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Multiplying 132343164100 by its product of nonzero digits (5184), we get a square (686066962694400 = 26192880²).

The spelling of 132343164100 in words is "one hundred thirty-two billion, three hundred forty-three million, one hundred sixty-four thousand, one hundred".