157643124093 has 48 divisors (see below), whose sum is σ = 280354454016. Its totient is φ = 83122744320.

The previous prime is 157643124091. The next prime is 157643124109. The reversal of 157643124093 is 390421346751.

157643124093 is a `hidden beast` number, since 1 + 576 + 4 + 31 + 2 + 40 + 9 + 3 = 666.

157643124093 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 157643124093 - 2¹ = 157643124091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157643124091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2364333 + ... + 2430093.

It is an arithmetic number, because the mean of its divisors is an integer number (5840717792).

Almost surely, 2^157643124093 is an apocalyptic number.

157643124093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157643124093 is a deficient number, since it is larger than the sum of its proper divisors (122711329923).

157643124093 is a wasteful number, since it uses less digits than its factorization.

157643124093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68714 (or 68711 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 157643124093 in words is "one hundred fifty-seven billion, six hundred forty-three million, one hundred twenty-four thousand, ninety-three".