132829515 has 96 divisors (see below), whose sum is σ = 286540800. Its totient is φ = 55427328.

The previous prime is 132829511. The next prime is 132829523. The reversal of 132829515 is 515928231.

132829515 is a `hidden beast` number, since 132 + 8 + 2 + 9 + 515 = 666.

It is not a de Polignac number, because 132829515 - 2² = 132829511 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132829515.

It is not an unprimeable number, because it can be changed into a prime (132829511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 667386 + ... + 667584.

It is an arithmetic number, because the mean of its divisors is an integer number (2984800).

Almost surely, 2^132829515 is an apocalyptic number.

132829515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132829515 is an abundant number, since it is smaller than the sum of its proper divisors (153711285).

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

132829515 is a wasteful number, since it uses less digits than its factorization.

132829515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 132829515 is about 11525.1687623219. The cubic root of 132829515 is about 510.2286748443.

The spelling of 132829515 in words is "one hundred thirty-two million, eight hundred twenty-nine thousand, five hundred fifteen".