157077 has 12 divisors (see below), whose sum is σ = 234624. Its totient is φ = 101160.

The previous prime is 157061. The next prime is 157081. The reversal of 157077 is 770751.

157077 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 157077 - 2⁴ = 157061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (19552).

2¹⁵⁷⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

157077 is a deficient number, since it is larger than the sum of its proper divisors (77547).

157077 is a wasteful number, since it uses less digits than its factorization.

157077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The square root of 157077 is about 396.3294084471. The cubic root of 157077 is about 53.9557250254.

The spelling of 157077 in words is "one hundred fifty-seven thousand, seventy-seven".