157688541 has 24 divisors (see below), whose sum is σ = 231861240. Its totient is φ = 103251456.

The previous prime is 157688539. The next prime is 157688551. The reversal of 157688541 is 145886751.

157688541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 157628025 = 246^2 + 12555^2 .

It is not a de Polignac number, because 157688541 - 2¹ = 157688539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157688551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255265 + ... + 255881.

It is an arithmetic number, because the mean of its divisors is an integer number (9660885).

Almost surely, 2^157688541 is an apocalyptic number.

It is an amenable number.

157688541 is a deficient number, since it is larger than the sum of its proper divisors (74172699).

157688541 is a wasteful number, since it uses less digits than its factorization.

157688541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1082 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 157688541 is about 12557.4098045736. The cubic root of 157688541 is about 540.2565550456.

The spelling of 157688541 in words is "one hundred fifty-seven million, six hundred eighty-eight thousand, five hundred forty-one".