157193568 has 288 divisors, whose sum is σ = 551577600. Its totient is φ = 43400448.

The previous prime is 157193563. The next prime is 157193579. The reversal of 157193568 is 865391751.

It is a happy number.

157193568 is a `hidden beast` number, since 15 + 71 + 9 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157193563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989753 + ... + 1989831.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2^157193568 is an apocalyptic number.

157193568 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 157193568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

157193568 is an abundant number, since it is smaller than the sum of its proper divisors (394384032).

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

157193568 is a wasteful number, since it uses less digits than its factorization.

157193568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 157193568 is about 12537.6859108848. The cubic root of 157193568 is about 539.6906870564.

The spelling of 157193568 in words is "one hundred fifty-seven million, one hundred ninety-three thousand, five hundred sixty-eight".