132134034432400 has 720 divisors, whose sum is σ = 452703371879808. Its totient is φ = 36363672576000.

The previous prime is 132134034432319. The next prime is 132134034432581. The reversal of 132134034432400 is 4234430431231.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63439540 + ... + 65489260.

Almost surely, 2^{132134034432400} is an apocalyptic number.

132134034432400 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 132134034432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226351685939904).

132134034432400 is an abundant number, since it is smaller than the sum of its proper divisors (320569337447408).

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

132134034432400 is a wasteful number, since it uses less digits than its factorization.

132134034432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049800 (or 2049782 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 132134034432400 its reverse (4234430431231), we get a palindrome (136368464863631).

The spelling of 132134034432400 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, thirty-four million, four hundred thirty-two thousand, four hundred".