157218812751 has 192 divisors, whose sum is σ = 291937153536. Its totient is φ = 74585871360.

The previous prime is 157218812743. The next prime is 157218812753.

157218812751 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 157218812751 - 2³ = 157218812743 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 157218812751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157218812753) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 287419860 + ... + 287420406.

It is an arithmetic number, because the mean of its divisors is an integer number (1520506008).

Almost surely, 2^157218812751 is an apocalyptic number.

157218812751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157218812751 is a deficient number, since it is larger than the sum of its proper divisors (134718340785).

157218812751 is a wasteful number, since it uses less digits than its factorization.

157218812751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 694 counting only the distinct ones).

The product of its digits is 313600, while the sum is 48.

It can be divided in two parts, 157218 and 812751, that added together give a palindrome (969969).

The spelling of 157218812751 in words is "one hundred fifty-seven billion, two hundred eighteen million, eight hundred twelve thousand, seven hundred fifty-one".