132242114400 has 432 divisors, whose sum is σ = 482745977280. Its totient is φ = 31183718400.

The previous prime is 132242114393. The next prime is 132242114401. The reversal of 132242114400 is 4411242231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132242114401) 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 71 ways as a sum of consecutive naturals, for example, 36139771 + ... + 36143429.

It is an arithmetic number, because the mean of its divisors is an integer number (1117467540).

Almost surely, 2^132242114400 is an apocalyptic number.

132242114400 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 132242114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241372988640).

132242114400 is an abundant number, since it is smaller than the sum of its proper divisors (350503862880).

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

132242114400 is a wasteful number, since it uses less digits than its factorization.

132242114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 132242114400 its reverse (4411242231), we get a palindrome (136653356631).

It can be divided in two parts, 132242 and 114400, that added together give a palindrome (246642).

The spelling of 132242114400 in words is "one hundred thirty-two billion, two hundred forty-two million, one hundred fourteen thousand, four hundred".