83133153024 has 144 divisors (see below), whose sum is σ = 234479831040. Its totient is φ = 26057687040.

The previous prime is 83133152933. The next prime is 83133153107. The reversal of 83133153024 is 42035133138.

It is a super-2 number, since 2×83133153024² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19986657 + ... + 19990815.

It is an arithmetic number, because the mean of its divisors is an integer number (1628332160).

Almost surely, 2^83133153024 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 83133153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117239915520).

83133153024 is an abundant number, since it is smaller than the sum of its proper divisors (151346678016).

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

83133153024 is a wasteful number, since it uses less digits than its factorization.

83133153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 83133153024 in words is "eighty-three billion, one hundred thirty-three million, one hundred fifty-three thousand, twenty-four".