152916191064 has 256 divisors, whose sum is σ = 523766476800. Its totient is φ = 40254257664.

The previous prime is 152916191033. The next prime is 152916191083. The reversal of 152916191064 is 460191619251.

152916191064 is a `hidden beast` number, since 1 + 5 + 29 + 1 + 619 + 1 + 0 + 6 + 4 = 666.

152916191064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152916191064² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 10941409 + ... + 10955375.

It is an arithmetic number, because the mean of its divisors is an integer number (2045962800).

Almost surely, 2^152916191064 is an apocalyptic number.

152916191064 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 152916191064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261883238400).

152916191064 is an abundant number, since it is smaller than the sum of its proper divisors (370850285736).

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

152916191064 is a wasteful number, since it uses less digits than its factorization.

152916191064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14559 (or 14549 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 152916191064 in words is "one hundred fifty-two billion, nine hundred sixteen million, one hundred ninety-one thousand, sixty-four".