132044038963200 has 4608 divisors, whose sum is σ = 637068649996800. Its totient is φ = 26105515868160.

The previous prime is 132044038963091. The next prime is 132044038963211. The reversal of 132044038963200 is 2369830440231.

132044038963200 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 4 + 0 + 3 + 8 + 9 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 581691801487 + ... + 581691801713.

It is an arithmetic number, because the mean of its divisors is an integer number (138252745225).

Almost surely, 2^{132044038963200} is an apocalyptic number.

132044038963200 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 132044038963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318534324998400).

132044038963200 is an abundant number, since it is smaller than the sum of its proper divisors (505024611033600).

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

132044038963200 is a wasteful number, since it uses less digits than its factorization.

132044038963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 132044038963200 in words is "one hundred thirty-two trillion, forty-four billion, thirty-eight million, nine hundred sixty-three thousand, two hundred".