132253532400 has 360 divisors, whose sum is σ = 468869209200. Its totient is φ = 31841075200.

The previous prime is 132253532393. The next prime is 132253532417. The reversal of 132253532400 is 4235352231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 21631744 + ... + 21637856.

It is an arithmetic number, because the mean of its divisors is an integer number (1302414470).

Almost surely, 2^132253532400 is an apocalyptic number.

132253532400 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 132253532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234434604600).

132253532400 is an abundant number, since it is smaller than the sum of its proper divisors (336615676800).

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

132253532400 is a wasteful number, since it uses less digits than its factorization.

132253532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 132253532400 its reverse (4235352231), we get a palindrome (136488884631).

The spelling of 132253532400 in words is "one hundred thirty-two billion, two hundred fifty-three million, five hundred thirty-two thousand, four hundred".