157966848 has 200 divisors, whose sum is σ = 509490828. Its totient is φ = 48439296.

The previous prime is 157966847. The next prime is 157966867. The reversal of 157966848 is 848669751.

157966848 is a `hidden beast` number, since 1 + 579 + 6 + 68 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156950784 + 1016064 = 12528^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime factors (336).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 157966794 and 157966803.

It is not an unprimeable number, because it can be changed into a prime (157966841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 538990 + ... + 539282.

Almost surely, 2^157966848 is an apocalyptic number.

157966848 is a gapful number since it is divisible by the number (18) 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 157966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254745414).

157966848 is an abundant number, since it is smaller than the sum of its proper divisors (351523980).

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

157966848 is an equidigital number, since it uses as much as digits as its factorization.

157966848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 311 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 157966848 is about 12568.4863050409. The cubic root of 157966848 is about 540.5742040238.

The spelling of 157966848 in words is "one hundred fifty-seven million, nine hundred sixty-six thousand, eight hundred forty-eight".