157984848 has 240 divisors, whose sum is σ = 543953280. Its totient is φ = 41803776.

The previous prime is 157984843. The next prime is 157984877. The reversal of 157984848 is 848489751.

157984848 is a `hidden beast` number, since 157 + 9 + 8 + 484 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 157984794 and 157984803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157984843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398040 + ... + 1398152.

It is an arithmetic number, because the mean of its divisors is an integer number (2266472).

Almost surely, 2^157984848 is an apocalyptic number.

157984848 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 157984848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271976640).

157984848 is an abundant number, since it is smaller than the sum of its proper divisors (385968432).

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

157984848 is a wasteful number, since it uses less digits than its factorization.

157984848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 157984848 is about 12569.2023613275. The cubic root of 157984848 is about 540.5947356865.

The spelling of 157984848 in words is "one hundred fifty-seven million, nine hundred eighty-four thousand, eight hundred forty-eight".