157272814512 has 320 divisors, whose sum is σ = 504173445120. Its totient is φ = 46530950400.

The previous prime is 157272814463. The next prime is 157272814577. The reversal of 157272814512 is 215418272751.

157272814512 is a `hidden beast` number, since 1 + 57 + 2 + 7 + 2 + 81 + 4 + 512 = 666.

157272814512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152543437 + ... + 152544467.

It is an arithmetic number, because the mean of its divisors is an integer number (1575542016).

Almost surely, 2^157272814512 is an apocalyptic number.

157272814512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157272814512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252086722560).

157272814512 is an abundant number, since it is smaller than the sum of its proper divisors (346900630608).

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

157272814512 is a wasteful number, since it uses less digits than its factorization.

157272814512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1777 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The spelling of 157272814512 in words is "one hundred fifty-seven billion, two hundred seventy-two million, eight hundred fourteen thousand, five hundred twelve".