157261162751 has 36 divisors (see below), whose sum is σ = 199427037264. Its totient is φ = 121388435520.

The previous prime is 157261162741. The next prime is 157261162753.

157261162751 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 157261162751 - 2²² = 157256968447 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157261162753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9689195 + ... + 9705411.

It is an arithmetic number, because the mean of its divisors is an integer number (5539639924).

Almost surely, 2^157261162751 is an apocalyptic number.

157261162751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157261162751 is a deficient number, since it is larger than the sum of its proper divisors (42165874513).

157261162751 is a wasteful number, since it uses less digits than its factorization.

157261162751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16460 (or 16342 counting only the distinct ones).

The product of its digits is 176400, while the sum is 44.

The spelling of 157261162751 in words is "one hundred fifty-seven billion, two hundred sixty-one million, one hundred sixty-two thousand, seven hundred fifty-one".