152719814016 has 1024 divisors, whose sum is σ = 583759872000. Its totient is φ = 38165299200.

The previous prime is 152719813991. The next prime is 152719814053. The reversal of 152719814016 is 610418917251.

152719814016 is a `hidden beast` number, since 1 + 52 + 7 + 198 + 1 + 401 + 6 = 666.

152719814016 is digitally balanced in base 2 and base 3, because in such bases 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 127 ways as a sum of consecutive naturals, for example, 1114743100 + ... + 1114743236.

It is an arithmetic number, because the mean of its divisors is an integer number (570078000).

Almost surely, 2^152719814016 is an apocalyptic number.

152719814016 is a gapful number since it is divisible by the number (16) 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 152719814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291879936000).

152719814016 is an abundant number, since it is smaller than the sum of its proper divisors (431040057984).

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

152719814016 is a wasteful number, since it uses less digits than its factorization.

152719814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 152719814016 in words is "one hundred fifty-two billion, seven hundred nineteen million, eight hundred fourteen thousand, sixteen".