132848518046400 has 2016 divisors, whose sum is σ = 556420329676800. Its totient is φ = 30732045926400.

The previous prime is 132848518046383. The next prime is 132848518046407. The reversal of 132848518046400 is 4640815848231.

132848518046400 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 48 + 518 + 0 + 46 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132848518046407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17616826630 + ... + 17616834170.

Almost surely, 2^{132848518046400} is an apocalyptic number.

132848518046400 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 132848518046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278210164838400).

132848518046400 is an abundant number, since it is smaller than the sum of its proper divisors (423571811630400).

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

132848518046400 is a wasteful number, since it uses less digits than its factorization.

132848518046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 132848518046400 in words is "one hundred thirty-two trillion, eight hundred forty-eight billion, five hundred eighteen million, forty-six thousand, four hundred".