152908320768 has 416 divisors, whose sum is σ = 502921633536. Its totient is φ = 40321941504.

The previous prime is 152908320731. The next prime is 152908320839. The reversal of 152908320768 is 867023809251.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 152908320768.

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 31 ways as a sum of consecutive naturals, for example, 77499430 + ... + 77501402.

Almost surely, 2^152908320768 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 152908320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251460816768).

152908320768 is an abundant number, since it is smaller than the sum of its proper divisors (350013312768).

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

152908320768 is a wasteful number, since it uses less digits than its factorization.

152908320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 152908320768 in words is "one hundred fifty-two billion, nine hundred eight million, three hundred twenty thousand, seven hundred sixty-eight".