132795294912000 has 5120 divisors, whose sum is σ = 640884980736000. Its totient is φ = 26372210688000.

The previous prime is 132795294911987. The next prime is 132795294912001. The reversal of 132795294912000 is 219492597231.

It is a happy number.

132795294912000 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 9 + 529 + 4 + 91 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132795294912001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 160187327586 + ... + 160187328414.

It is an arithmetic number, because the mean of its divisors is an integer number (125172847800).

Almost surely, 2^{132795294912000} is an apocalyptic number.

132795294912000 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 132795294912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320442490368000).

132795294912000 is an abundant number, since it is smaller than the sum of its proper divisors (508089685824000).

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

132795294912000 is a wasteful number, since it uses less digits than its factorization.

132795294912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 132795294912000 in words is "one hundred thirty-two trillion, seven hundred ninety-five billion, two hundred ninety-four million, nine hundred twelve thousand".