132735744 has 108 divisors (see below), whose sum is σ = 390289536. Its totient is φ = 43370496.

The previous prime is 132735727. The next prime is 132735763. The reversal of 132735744 is 447537231.

132735744 is a `hidden beast` number, since 13 + 2 + 73 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132735699 and 132735708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121569 + ... + 122655.

It is an arithmetic number, because the mean of its divisors is an integer number (3613792).

Almost surely, 2^132735744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132735744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195144768).

132735744 is an abundant number, since it is smaller than the sum of its proper divisors (257553792).

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

132735744 is a wasteful number, since it uses less digits than its factorization.

132735744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1145 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 132735744 is about 11521.0999474877. The cubic root of 132735744 is about 510.1085812639.

The spelling of 132735744 in words is "one hundred thirty-two million, seven hundred thirty-five thousand, seven hundred forty-four".