157338025218 has 144 divisors (see below), whose sum is σ = 398248938360. Its totient is φ = 44703943680.

The previous prime is 157338025217. The next prime is 157338025219. The reversal of 157338025218 is 812520833751.

157338025218 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 380 + 252 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (157338025217) and next prime (157338025219).

It can be written as a sum of positive squares in 4 ways, for example, as 134683862049 + 22654163169 = 366993^2 + 150513^2 .

It is not an unprimeable number, because it can be changed into a prime (157338025211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9952096 + ... + 9967892.

Almost surely, 2^157338025218 is an apocalyptic number.

157338025218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157338025218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199124469180).

157338025218 is an abundant number, since it is smaller than the sum of its proper divisors (240910913142).

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

157338025218 is a wasteful number, since it uses less digits than its factorization.

157338025218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16113 (or 16099 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 157338025218 its reverse (812520833751), we get a palindrome (969858858969).

The spelling of 157338025218 in words is "one hundred fifty-seven billion, three hundred thirty-eight million, twenty-five thousand, two hundred eighteen".