132413110400 has 96 divisors (see below), whose sum is σ = 327945723300. Its totient is φ = 52828590080.

The previous prime is 132413110343. The next prime is 132413110421. The reversal of 132413110400 is 4011314231.

It can be written as a sum of positive squares in 6 ways, for example, as 2738219584 + 129674890816 = 52328^2 + 360104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1191614 + ... + 1297986.

Almost surely, 2^132413110400 is an apocalyptic number.

132413110400 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 132413110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163972861650).

132413110400 is an abundant number, since it is smaller than the sum of its proper divisors (195532612900).

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

132413110400 is a wasteful number, since it uses less digits than its factorization.

132413110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106786 (or 106769 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132413110400 its reverse (4011314231), we get a palindrome (136424424631).

The spelling of 132413110400 in words is "one hundred thirty-two billion, four hundred thirteen million, one hundred ten thousand, four hundred".