132915744 has 144 divisors (see below), whose sum is σ = 411675264. Its totient is φ = 40435200.

The previous prime is 132915719. The next prime is 132915749. The reversal of 132915744 is 447519231.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (420).

It is a junction number, because it is equal to n+sod(n) for n = 132915699 and 132915708.

It is not an unprimeable number, because it can be changed into a prime (132915749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490329 + ... + 490599.

It is an arithmetic number, because the mean of its divisors is an integer number (2858856).

Almost surely, 2^132915744 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 132915744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205837632).

132915744 is an abundant number, since it is smaller than the sum of its proper divisors (278759520).

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

132915744 is a wasteful number, since it uses less digits than its factorization.

132915744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 132915744 is about 11528.9090550667. The cubic root of 132915744 is about 510.3390594262.

The spelling of 132915744 in words is "one hundred thirty-two million, nine hundred fifteen thousand, seven hundred forty-four".