157825824 has 192 divisors, whose sum is σ = 486186624. Its totient is φ = 44384256.

The previous prime is 157825823. The next prime is 157825847. The reversal of 157825824 is 428528751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157825823) 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 31 ways as a sum of consecutive naturals, for example, 912202 + ... + 912374.

It is an arithmetic number, because the mean of its divisors is an integer number (2532222).

Almost surely, 2^157825824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157825824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243093312).

157825824 is an abundant number, since it is smaller than the sum of its proper divisors (328360800).

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

157825824 is a wasteful number, since it uses less digits than its factorization.

157825824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its digits is 179200, while the sum is 42.

The square root of 157825824 is about 12562.8748302289. The cubic root of 157825824 is about 540.4132912868.

The spelling of 157825824 in words is "one hundred fifty-seven million, eight hundred twenty-five thousand, eight hundred twenty-four".