142528120 has 128 divisors (see below), whose sum is σ = 392140800. Its totient is φ = 45536256.

The previous prime is 142528117. The next prime is 142528151. The reversal of 142528120 is 21825241.

142528120 is nontrivially palindromic in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388177 + ... + 388543.

It is an arithmetic number, because the mean of its divisors is an integer number (3063600).

Almost surely, 2^142528120 is an apocalyptic number.

142528120 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 142528120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196070400).

142528120 is an abundant number, since it is smaller than the sum of its proper divisors (249612680).

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

142528120 is a wasteful number, since it uses less digits than its factorization.

142528120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 142528120 is about 11938.5141454035. The cubic root of 142528120 is about 522.3563183295.

The spelling of 142528120 in words is "one hundred forty-two million, five hundred twenty-eight thousand, one hundred twenty".