32251132133400 has 192 divisors, whose sum is σ = 103542696057600. Its totient is φ = 8294374197760.

The previous prime is 32251132133317. The next prime is 32251132133411. The reversal of 32251132133400 is 433123115223.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14388979 + ... + 16478621.

It is an arithmetic number, because the mean of its divisors is an integer number (539284875300).

Almost surely, 2^{32251132133400} is an apocalyptic number.

32251132133400 is a gapful number since it is divisible by the number (30) 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 32251132133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51771348028800).

32251132133400 is an abundant number, since it is smaller than the sum of its proper divisors (71291563924200).

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

32251132133400 is a wasteful number, since it uses less digits than its factorization.

32251132133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090578 (or 2090569 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 32251132133400 its reverse (433123115223), we get a palindrome (32684255248623).

The spelling of 32251132133400 in words is "thirty-two trillion, two hundred fifty-one billion, one hundred thirty-two million, one hundred thirty-three thousand, four hundred".