157914743242752 has 952 divisors, whose sum is σ = 492787822199400. Its totient is φ = 50519473127424.

The previous prime is 157914743242741. The next prime is 157914743242777. The reversal of 157914743242752 is 257242347419751.

157914743242752 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 147 + 432 + 4 + 2 + 7 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41945622183936 + 115969121058816 = 6476544^2 + 10768896^2 .

It is a super-2 number, since 2×157914743242752² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157914743242752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 405950496574 + ... + 405950496962.

Almost surely, 2^{157914743242752} is an apocalyptic number.

157914743242752 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 157914743242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246393911099700).

157914743242752 is an abundant number, since it is smaller than the sum of its proper divisors (334873078956648).

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

157914743242752 is an frugal number, since it uses more digits than its factorization.

157914743242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 716 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 157914743242752 in words is "one hundred fifty-seven trillion, nine hundred fourteen billion, seven hundred forty-three million, two hundred forty-two thousand, seven hundred fifty-two".