157093668 has 84 divisors (see below), whose sum is σ = 436566060. Its totient is φ = 49268736.

The previous prime is 157093661. The next prime is 157093669. The reversal of 157093668 is 866390751.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 126157824 + 30935844 = 11232^2 + 5562^2 .

It is not an unprimeable number, because it can be changed into a prime (157093661) 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 27 ways as a sum of consecutive naturals, for example, 47988 + ... + 51156.

It is an arithmetic number, because the mean of its divisors is an integer number (5197215).

Almost surely, 2^157093668 is an apocalyptic number.

157093668 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 157093668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218283030).

157093668 is an abundant number, since it is smaller than the sum of its proper divisors (279472392).

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

157093668 is a wasteful number, since it uses less digits than its factorization.

157093668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 157093668 is about 12533.7012889250. The cubic root of 157093668 is about 539.5763343599.

The spelling of 157093668 in words is "one hundred fifty-seven million, ninety-three thousand, six hundred sixty-eight".