157824128 has 128 divisors (see below), whose sum is σ = 399513600. Its totient is φ = 60318720.

The previous prime is 157824113. The next prime is 157824151. The reversal of 157824128 is 821428751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157824091 and 157824100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660233 + ... + 660471.

It is an arithmetic number, because the mean of its divisors is an integer number (3121200).

Almost surely, 2^157824128 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 157824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199756800).

157824128 is an abundant number, since it is smaller than the sum of its proper divisors (241689472).

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

157824128 is a wasteful number, since it uses less digits than its factorization.

157824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its digits is 35840, while the sum is 38.

The square root of 157824128 is about 12562.8073295741. The cubic root of 157824128 is about 540.4113555153.

The spelling of 157824128 in words is "one hundred fifty-seven million, eight hundred twenty-four thousand, one hundred twenty-eight".