132742512 has 240 divisors, whose sum is σ = 464256000. Its totient is φ = 34546176.

The previous prime is 132742487. The next prime is 132742529. The reversal of 132742512 is 215247231.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 555289 + ... + 555527.

It is an arithmetic number, because the mean of its divisors is an integer number (1934400).

Almost surely, 2^132742512 is an apocalyptic number.

132742512 is a gapful number since it is divisible by the number (12) 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 132742512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128000).

132742512 is an abundant number, since it is smaller than the sum of its proper divisors (331513488).

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

132742512 is a wasteful number, since it uses less digits than its factorization.

132742512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 132742512 is about 11521.3936656986. The cubic root of 132742512 is about 510.1172510115.

Adding to 132742512 its reverse (215247231), we get a palindrome (347989743).

The spelling of 132742512 in words is "one hundred thirty-two million, seven hundred forty-two thousand, five hundred twelve".