132776800 has 144 divisors (see below), whose sum is σ = 370101312. Its totient is φ = 46080000.

The previous prime is 132776797. The next prime is 132776803. The reversal of 132776800 is 8677231.

132776800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132776797) and next prime (132776803).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132776803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176425 + ... + 177175.

It is an arithmetic number, because the mean of its divisors is an integer number (2570148).

Almost surely, 2^132776800 is an apocalyptic number.

132776800 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 132776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185050656).

132776800 is an abundant number, since it is smaller than the sum of its proper divisors (237324512).

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

132776800 is a wasteful number, since it uses less digits than its factorization.

132776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 132776800 is about 11522.8815840483. The cubic root of 132776800 is about 510.1611691059.

The spelling of 132776800 in words is "one hundred thirty-two million, seven hundred seventy-six thousand, eight hundred".