132294405600 has 576 divisors, whose sum is σ = 552294650880. Its totient is φ = 29935872000.

The previous prime is 132294405487. The next prime is 132294405611. The reversal of 132294405600 is 6504492231.

It is a happy number.

132294405600 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 9 + 4 + 40 + 5 + 600 = 666.

It is a super-2 number, since 2×132294405600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15266869 + ... + 15275531.

It is an arithmetic number, because the mean of its divisors is an integer number (958844880).

Almost surely, 2^132294405600 is an apocalyptic number.

132294405600 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 132294405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276147325440).

132294405600 is an abundant number, since it is smaller than the sum of its proper divisors (420000245280).

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

132294405600 is a wasteful number, since it uses less digits than its factorization.

132294405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 132294405600 its reverse (6504492231), we get a palindrome (138798897831).

The spelling of 132294405600 in words is "one hundred thirty-two billion, two hundred ninety-four million, four hundred five thousand, six hundred".