132336800 has 72 divisors (see below), whose sum is σ = 330666336. Its totient is φ = 51690240.

The previous prime is 132336797. The next prime is 132336803. The reversal of 132336800 is 8633231.

It is an interprime number because it is at equal distance from previous prime (132336797) and next prime (132336803).

It is a self number, because there is not a number n which added to its sum of digits gives 132336800.

It is not an unprimeable number, because it can be changed into a prime (132336803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32477 + ... + 36323.

It is an arithmetic number, because the mean of its divisors is an integer number (4592588).

Almost surely, 2^132336800 is an apocalyptic number.

132336800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165333168).

132336800 is an abundant number, since it is smaller than the sum of its proper divisors (198329536).

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

132336800 is a wasteful number, since it uses less digits than its factorization.

132336800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 132336800 is about 11503.7732940110. The cubic root of 132336800 is about 509.5970160187.

The spelling of 132336800 in words is "one hundred thirty-two million, three hundred thirty-six thousand, eight hundred".