157934383439751 has 24 divisors (see below), whose sum is σ = 239278007826624. Its totient is φ = 100264266417600.

The previous prime is 157934383439743. The next prime is 157934383439801.

157934383439751 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 3 + 43 + 83 + 439 + 75 + 1 = 666.

157934383439751 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 157934383439751 - 2³ = 157934383439743 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157934383439751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157934383439731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5045488900 + ... + 5045520201.

It is an arithmetic number, because the mean of its divisors is an integer number (9969916992776).

Almost surely, 2^{157934383439751} is an apocalyptic number.

157934383439751 is a deficient number, since it is larger than the sum of its proper divisors (81343624386873).

157934383439751 is a wasteful number, since it uses less digits than its factorization.

157934383439751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091009191 (or 10091009188 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 157934383439751 in words is "one hundred fifty-seven trillion, nine hundred thirty-four billion, three hundred eighty-three million, four hundred thirty-nine thousand, seven hundred fifty-one".