132400211400 has 144 divisors (see below), whose sum is σ = 444998370960. Its totient is φ = 35278588800.

The previous prime is 132400211389. The next prime is 132400211407. The reversal of 132400211400 is 4112004231.

132400211400 is a `hidden beast` number, since 1 + 3 + 240 + 0 + 21 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132400211407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2280735 + ... + 2338065.

It is an arithmetic number, because the mean of its divisors is an integer number (3090266465).

Almost surely, 2^132400211400 is an apocalyptic number.

132400211400 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 132400211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222499185480).

132400211400 is an abundant number, since it is smaller than the sum of its proper divisors (312598159560).

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

132400211400 is a wasteful number, since it uses less digits than its factorization.

132400211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58636 (or 58624 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132400211400 its reverse (4112004231), we get a palindrome (136512215631).

The spelling of 132400211400 in words is "one hundred thirty-two billion, four hundred million, two hundred eleven thousand, four hundred".