151714116064 has 192 divisors, whose sum is σ = 363754782720. Its totient is φ = 60922160640.

The previous prime is 151714116019. The next prime is 151714116083. The reversal of 151714116064 is 460611417151.

151714116064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 27446869 + ... + 27452395.

It is an arithmetic number, because the mean of its divisors is an integer number (1894556160).

Almost surely, 2^151714116064 is an apocalyptic number.

151714116064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151714116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181877391360).

151714116064 is an abundant number, since it is smaller than the sum of its proper divisors (212040666656).

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

151714116064 is a wasteful number, since it uses less digits than its factorization.

151714116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 151714116064 in words is "one hundred fifty-one billion, seven hundred fourteen million, one hundred sixteen thousand, sixty-four".