151515032064 has 160 divisors (see below), whose sum is σ = 440870639616. Its totient is φ = 45858385920.

The previous prime is 151515032041. The next prime is 151515032077. The reversal of 151515032064 is 460230515151.

151515032064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 15319729 + ... + 15329615.

Almost surely, 2^151515032064 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 151515032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220435319808).

151515032064 is an abundant number, since it is smaller than the sum of its proper divisors (289355607552).

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

151515032064 is an equidigital number, since it uses as much as digits as its factorization.

151515032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10826 (or 10810 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 151515032064 in words is "one hundred fifty-one billion, five hundred fifteen million, thirty-two thousand, sixty-four".