132113434442400 has 108 divisors (see below), whose sum is σ = 465864998227902. Its totient is φ = 35230249182720.

The previous prime is 132113434442389. The next prime is 132113434442401. The reversal of 132113434442400 is 4244434311231.

132113434442400 is a `hidden beast` number, since 1 + 3 + 211 + 3 + 4 + 34 + 4 + 4 + 2 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 124280847089424 + 7832587352976 = 11148132^2 + 2798676^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132113434442401) 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 17 ways as a sum of consecutive naturals, for example, 9174536859 + ... + 9174551258.

Almost surely, 2^{132113434442400} is an apocalyptic number.

132113434442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113434442400 is an abundant number, since it is smaller than the sum of its proper divisors (333751563785502).

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

132113434442400 is a wasteful number, since it uses less digits than its factorization.

132113434442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18349088143 (or 18349088127 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 132113434442400 its reverse (4244434311231), we get a palindrome (136357868753631).

The spelling of 132113434442400 in words is "one hundred thirty-two trillion, one hundred thirteen billion, four hundred thirty-four million, four hundred forty-two thousand, four hundred".