132157887120 has 1280 divisors, whose sum is σ = 572749056000. Its totient is φ = 27327725568.

The previous prime is 132157887107. The next prime is 132157887131. The reversal of 132157887120 is 21788751231.

132157887120 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 578 + 8 + 71 + 2 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1212457626 + ... + 1212457734.

It is an arithmetic number, because the mean of its divisors is an integer number (447460200).

Almost surely, 2^132157887120 is an apocalyptic number.

132157887120 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 132157887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286374528000).

132157887120 is an abundant number, since it is smaller than the sum of its proper divisors (440591168880).

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

132157887120 is a wasteful number, since it uses less digits than its factorization.

132157887120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 132157887120 in words is "one hundred thirty-two billion, one hundred fifty-seven million, eight hundred eighty-seven thousand, one hundred twenty".