157985667 has 32 divisors (see below), whose sum is σ = 268083200. Its totient is φ = 90077184.

The previous prime is 157985647. The next prime is 157985693. The reversal of 157985667 is 766589751.

157985667 is a `hidden beast` number, since 1 + 5 + 79 + 8 + 566 + 7 = 666.

157985667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157985667 - 2¹⁴ = 157969283 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157985647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144798 + ... + 145884.

It is an arithmetic number, because the mean of its divisors is an integer number (8377600).

Almost surely, 2^157985667 is an apocalyptic number.

157985667 is a deficient number, since it is larger than the sum of its proper divisors (110097533).

157985667 is a wasteful number, since it uses less digits than its factorization.

157985667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1866 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 157985667 is about 12569.2349409182. The cubic root of 157985667 is about 540.5956698401.

The spelling of 157985667 in words is "one hundred fifty-seven million, nine hundred eighty-five thousand, six hundred sixty-seven".