132857418330 has 288 divisors, whose sum is σ = 428247406080. Its totient is φ = 27981158400.

The previous prime is 132857418311. The next prime is 132857418347. The reversal of 132857418330 is 33814758231.

132857418330 is a `hidden beast` number, since 1 + 32 + 8 + 574 + 18 + 3 + 30 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110621730 + ... + 110622930.

It is an arithmetic number, because the mean of its divisors is an integer number (1486970160).

Almost surely, 2^132857418330 is an apocalyptic number.

132857418330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132857418330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214123703040).

132857418330 is an abundant number, since it is smaller than the sum of its proper divisors (295389987750).

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

132857418330 is a wasteful number, since it uses less digits than its factorization.

132857418330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 132857418330 in words is "one hundred thirty-two billion, eight hundred fifty-seven million, four hundred eighteen thousand, three hundred thirty".