157085966 has 32 divisors (see below), whose sum is σ = 248814720. Its totient is φ = 74307744.

The previous prime is 157085941. The next prime is 157085993. The reversal of 157085966 is 669580751.

157085966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 157085966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420956 + ... + 421328.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2^157085966 is an apocalyptic number.

157085966 is a deficient number, since it is larger than the sum of its proper divisors (91728754).

157085966 is a wasteful number, since it uses less digits than its factorization.

157085966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560.

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 157085966 is about 12533.3940335410. The cubic root of 157085966 is about 539.5675160863.

The spelling of 157085966 in words is "one hundred fifty-seven million, eighty-five thousand, nine hundred sixty-six".