132797952000 has 1248 divisors, whose sum is σ = 574088186880. Its totient is φ = 28871884800.

The previous prime is 132797951989. The next prime is 132797952059. The reversal of 132797952000 is 259797231.

132797952000 is a `hidden beast` number, since 1 + 32 + 7 + 97 + 9 + 520 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 741887911 + ... + 741888089.

It is an arithmetic number, because the mean of its divisors is an integer number (460006560).

Almost surely, 2^132797952000 is an apocalyptic number.

132797952000 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 132797952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287044093440).

132797952000 is an abundant number, since it is smaller than the sum of its proper divisors (441290234880).

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

132797952000 is a wasteful number, since it uses less digits than its factorization.

132797952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 132797952000 in words is "one hundred thirty-two billion, seven hundred ninety-seven million, nine hundred fifty-two thousand".