157729936 has 80 divisors (see below), whose sum is σ = 379531264. Its totient is φ = 61834752.

The previous prime is 157729909. The next prime is 157729939. The reversal of 157729936 is 639927751.

It is a self number, because there is not a number n which added to its sum of digits gives 157729936.

It is not an unprimeable number, because it can be changed into a prime (157729939) 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 15 ways as a sum of consecutive naturals, for example, 184486 + ... + 185338.

Almost surely, 2^157729936 is an apocalyptic number.

157729936 is a gapful number since it is divisible by the number (16) 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 157729936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189765632).

157729936 is an abundant number, since it is smaller than the sum of its proper divisors (221801328).

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

157729936 is a wasteful number, since it uses less digits than its factorization.

157729936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its digits is 714420, while the sum is 49.

The square root of 157729936 is about 12559.0579264529. The cubic root of 157729936 is about 540.3038253658.

It can be divided in two parts, 1577 and 29936, that added together give a palindrome (31513).

The spelling of 157729936 in words is "one hundred fifty-seven million, seven hundred twenty-nine thousand, nine hundred thirty-six".