151083071568 has 360 divisors, whose sum is σ = 528868828800. Its totient is φ = 39773859840.

The previous prime is 151083071563. The next prime is 151083071569. The reversal of 151083071568 is 865170380151.

151083071568 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 83 + 0 + 7 + 1 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151083071563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4534233 + ... + 4567431.

It is an arithmetic number, because the mean of its divisors is an integer number (1469080080).

Almost surely, 2^151083071568 is an apocalyptic number.

151083071568 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 151083071568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264434414400).

151083071568 is an abundant number, since it is smaller than the sum of its proper divisors (377785757232).

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

151083071568 is a wasteful number, since it uses less digits than its factorization.

151083071568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33267 (or 33245 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 151083071568 in words is "one hundred fifty-one billion, eighty-three million, seventy-one thousand, five hundred sixty-eight".