157182741872208 has 80 divisors (see below), whose sum is σ = 485878276175040. Its totient is φ = 48363920574336.

The previous prime is 157182741872147. The next prime is 157182741872327. The reversal of 157182741872208 is 802278147281751.

157182741872208 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 8 + 2 + 7 + 418 + 7 + 2 + 208 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13994184366 + ... + 13994195597.

It is an arithmetic number, because the mean of its divisors is an integer number (6073478452188).

Almost surely, 2^{157182741872208} is an apocalyptic number.

157182741872208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157182741872208 is an abundant number, since it is smaller than the sum of its proper divisors (328695534302832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157182741872208 is a wasteful number, since it uses less digits than its factorization.

157182741872208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27988379993 (or 27988379981 counting only the distinct ones).

The product of its (nonzero) digits is 28098560, while the sum is 63.

The spelling of 157182741872208 in words is "one hundred fifty-seven trillion, one hundred eighty-two billion, seven hundred forty-one million, eight hundred seventy-two thousand, two hundred eight".