132334540800 has 1152 divisors, whose sum is σ = 556884357120. Its totient is φ = 26925465600.

The previous prime is 132334540787. The next prime is 132334540843. The reversal of 132334540800 is 8045433231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 792422317 + ... + 792422483.

It is an arithmetic number, because the mean of its divisors is an integer number (483406560).

Almost surely, 2^132334540800 is an apocalyptic number.

132334540800 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 132334540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278442178560).

132334540800 is an abundant number, since it is smaller than the sum of its proper divisors (424549816320).

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

132334540800 is a wasteful number, since it uses less digits than its factorization.

132334540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 132334540800 in words is "one hundred thirty-two billion, three hundred thirty-four million, five hundred forty thousand, eight hundred".