5142353832 has 576 divisors, whose sum is σ = 18732954240. Its totient is φ = 1245404160.

The previous prime is 5142353813. The next prime is 5142353861. The reversal of 5142353832 is 2383532415.

5142353832 is a `hidden beast` number, since 51 + 42 + 3 + 538 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97025518 + ... + 97025570.

It is an arithmetic number, because the mean of its divisors is an integer number (32522490).

Almost surely, 2^5142353832 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 5142353832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9366477120).

5142353832 is an abundant number, since it is smaller than the sum of its proper divisors (13590600408).

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

5142353832 is a wasteful number, since it uses less digits than its factorization.

5142353832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5142353832 is about 71710.2073069099. The cubic root of 5142353832 is about 1726.0524370378.

The spelling of 5142353832 in words is "five billion, one hundred forty-two million, three hundred fifty-three thousand, eight hundred thirty-two".