151512500768 has 192 divisors, whose sum is σ = 325078881120. Its totient is φ = 69363302400.

The previous prime is 151512500767. The next prime is 151512500773. The reversal of 151512500768 is 867005215151.

It can be written as a sum of positive squares in 16 ways, for example, as 12631062544 + 138881438224 = 112388^2 + 372668^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (151512500767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225129680 + ... + 225130352.

Almost surely, 2^151512500768 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 151512500768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162539440560).

151512500768 is an abundant number, since it is smaller than the sum of its proper divisors (173566380352).

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

151512500768 is a wasteful number, since it uses less digits than its factorization.

151512500768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 41.

The spelling of 151512500768 in words is "one hundred fifty-one billion, five hundred twelve million, five hundred thousand, seven hundred sixty-eight".