132861057600 has 336 divisors, whose sum is σ = 447630474816. Its totient is φ = 34480128000.

The previous prime is 132861057587. The next prime is 132861057601. The reversal of 132861057600 is 6750168231.

It is not an unprimeable number, because it can be changed into a prime (132861057601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135988312 + ... + 135989288.

It is an arithmetic number, because the mean of its divisors is an integer number (1332233556).

Almost surely, 2^132861057600 is an apocalyptic number.

132861057600 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 132861057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223815237408).

132861057600 is an abundant number, since it is smaller than the sum of its proper divisors (314769417216).

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

132861057600 is a wasteful number, since it uses less digits than its factorization.

132861057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 132861057600 in words is "one hundred thirty-two billion, eight hundred sixty-one million, fifty-seven thousand, six hundred".