153293736316 has 96 divisors (see below), whose sum is σ = 324259246080. Its totient is φ = 62018611200.

The previous prime is 153293736313. The next prime is 153293736329. The reversal of 153293736316 is 613637392351.

It is a self number, because there is not a number n which added to its sum of digits gives 153293736316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153293736313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34671786 + ... + 34676206.

It is an arithmetic number, because the mean of its divisors is an integer number (3377700480).

Almost surely, 2^153293736316 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 153293736316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162129623040).

153293736316 is an abundant number, since it is smaller than the sum of its proper divisors (170965509764).

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

153293736316 is a wasteful number, since it uses less digits than its factorization.

153293736316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5433 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 49.

The spelling of 153293736316 in words is "one hundred fifty-three billion, two hundred ninety-three million, seven hundred thirty-six thousand, three hundred sixteen".