132111131330400 has 288 divisors, whose sum is σ = 431095421127168. Its totient is φ = 35141777664000.

The previous prime is 132111131330363. The next prime is 132111131330441. The reversal of 132111131330400 is 4033131111231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1647087097 + ... + 1647167303.

It is an arithmetic number, because the mean of its divisors is an integer number (1496859101136).

Almost surely, 2^{132111131330400} is an apocalyptic number.

132111131330400 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 132111131330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215547710563584).

132111131330400 is an abundant number, since it is smaller than the sum of its proper divisors (298984289796768).

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

132111131330400 is a wasteful number, since it uses less digits than its factorization.

132111131330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81934 (or 81921 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 132111131330400 its reverse (4033131111231), we get a palindrome (136144262441631).

The spelling of 132111131330400 in words is "one hundred thirty-two trillion, one hundred eleven billion, one hundred thirty-one million, three hundred thirty thousand, four hundred".