157529416 has 48 divisors (see below), whose sum is σ = 327858300. Its totient is φ = 70899840.

The previous prime is 157529347. The next prime is 157529417. The reversal of 157529416 is 614925751.

It can be written as a sum of positive squares in 2 ways, for example, as 142706916 + 14822500 = 11946^2 + 3850^2 .

It is not an unprimeable number, because it can be changed into a prime (157529417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104766 + ... + 106258.

Almost surely, 2^157529416 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 157529416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163929150).

157529416 is an abundant number, since it is smaller than the sum of its proper divisors (170328884).

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

157529416 is a wasteful number, since it uses less digits than its factorization.

157529416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1615 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 157529416 is about 12551.0723047873. The cubic root of 157529416 is about 540.0747678823.

The spelling of 157529416 in words is "one hundred fifty-seven million, five hundred twenty-nine thousand, four hundred sixteen".