152191061568 has 1008 divisors, whose sum is σ = 593093007360. Its totient is φ = 37926475776.

The previous prime is 152191061563. The next prime is 152191061591. The reversal of 152191061568 is 865160191251.

152191061568 is a `hidden beast` number, since 1 + 5 + 2 + 19 + 10 + 61 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (152191061563) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 397365505 + ... + 397365887.

It is an arithmetic number, because the mean of its divisors is an integer number (588385920).

Almost surely, 2^152191061568 is an apocalyptic number.

152191061568 is a gapful number since it is divisible by the number (18) 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 152191061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296546503680).

152191061568 is an abundant number, since it is smaller than the sum of its proper divisors (440901945792).

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

152191061568 is a wasteful number, since it uses less digits than its factorization.

152191061568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 152191061568 in words is "one hundred fifty-two billion, one hundred ninety-one million, sixty-one thousand, five hundred sixty-eight".