152651667168 has 1728 divisors, whose sum is σ = 655818508800. Its totient is φ = 32397926400.

The previous prime is 152651667131. The next prime is 152651667193. The reversal of 152651667168 is 861766156251.

152651667168 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 516 + 67 + 1 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4924247313 + ... + 4924247343.

It is an arithmetic number, because the mean of its divisors is an integer number (379524600).

Almost surely, 2^152651667168 is an apocalyptic number.

152651667168 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 152651667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327909254400).

152651667168 is an abundant number, since it is smaller than the sum of its proper divisors (503166841632).

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

152651667168 is a wasteful number, since it uses less digits than its factorization.

152651667168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 115 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 152651667168 in words is "one hundred fifty-two billion, six hundred fifty-one million, six hundred sixty-seven thousand, one hundred sixty-eight".