132895939200 has 384 divisors, whose sum is σ = 447018264000. Its totient is φ = 34694922240.

The previous prime is 132895939063. The next prime is 132895939201. The reversal of 132895939200 is 2939598231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×132895939200² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (132895939201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93128887 + ... + 93130313.

Almost surely, 2^132895939200 is an apocalyptic number.

132895939200 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 132895939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223509132000).

132895939200 is an abundant number, since it is smaller than the sum of its proper divisors (314122324800).

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

132895939200 is a wasteful number, since it uses less digits than its factorization.

132895939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 132895939200 in words is "one hundred thirty-two billion, eight hundred ninety-five million, nine hundred thirty-nine thousand, two hundred".