132475749120 has 1728 divisors, whose sum is σ = 578546841600. Its totient is φ = 27538882560.

The previous prime is 132475749053. The next prime is 132475749157. The reversal of 132475749120 is 21947574231.

132475749120 is a `hidden beast` number, since 1 + 3 + 2 + 475 + 74 + 91 + 20 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2245351651 + ... + 2245351709.

It is an arithmetic number, because the mean of its divisors is an integer number (334807200).

Almost surely, 2^132475749120 is an apocalyptic number.

132475749120 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 132475749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289273420800).

132475749120 is an abundant number, since it is smaller than the sum of its proper divisors (446071092480).

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

132475749120 is a wasteful number, since it uses less digits than its factorization.

132475749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 132475749120 in words is "one hundred thirty-two billion, four hundred seventy-five million, seven hundred forty-nine thousand, one hundred twenty".