132251832000 has 896 divisors, whose sum is σ = 514668211200. Its totient is φ = 33191424000.

The previous prime is 132251831983. The next prime is 132251832001. The reversal of 132251832000 is 238152231.

132251832000 is a `hidden beast` number, since 1 + 322 + 5 + 18 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132251832001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 269351755 + ... + 269352245.

Almost surely, 2^132251832000 is an apocalyptic number.

132251832000 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 132251832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257334105600).

132251832000 is an abundant number, since it is smaller than the sum of its proper divisors (382416379200).

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

132251832000 is a wasteful number, since it uses less digits than its factorization.

132251832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 132251832000 its reverse (238152231), we get a palindrome (132489984231).

The spelling of 132251832000 in words is "one hundred thirty-two billion, two hundred fifty-one million, eight hundred thirty-two thousand".