157541328 has 160 divisors (see below), whose sum is σ = 526156800. Its totient is φ = 44198784.

The previous prime is 157541309. The next prime is 157541347. The reversal of 157541328 is 823145751.

157541328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157541309) and next prime (157541347).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157541292 and 157541301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177975 + ... + 178857.

It is an arithmetic number, because the mean of its divisors is an integer number (3288480).

Almost surely, 2^157541328 is an apocalyptic number.

157541328 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 157541328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263078400).

157541328 is an abundant number, since it is smaller than the sum of its proper divisors (368615472).

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

157541328 is a wasteful number, since it uses less digits than its factorization.

157541328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 954 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 157541328 is about 12551.5468369440. The cubic root of 157541328 is about 540.0883805959.

The spelling of 157541328 in words is "one hundred fifty-seven million, five hundred forty-one thousand, three hundred twenty-eight".