10142531352 has 48 divisors (see below), whose sum is σ = 28663680240. Its totient is φ = 3233850048.

The previous prime is 10142531327. The next prime is 10142531419. The reversal of 10142531352 is 25313524101.

10142531352 is a `hidden beast` number, since 101 + 425 + 3 + 135 + 2 = 666.

10142531352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 3060703 + ... + 3064014.

It is an arithmetic number, because the mean of its divisors is an integer number (597160005).

Almost surely, 2^10142531352 is an apocalyptic number.

10142531352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142531352 is an abundant number, since it is smaller than the sum of its proper divisors (18521148888).

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

10142531352 is a wasteful number, since it uses less digits than its factorization.

10142531352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124752 (or 6124745 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10142531352 in words is "ten billion, one hundred forty-two million, five hundred thirty-one thousand, three hundred fifty-two".