157457536 has 48 divisors (see below), whose sum is σ = 333376290. Its totient is φ = 73822208.

The previous prime is 157457497. The next prime is 157457539. The reversal of 157457536 is 635754751.

157457536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 81000000 + 76457536 = 9000^2 + 8744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 157457492 and 157457501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157457539) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585210 + ... + 585478.

Almost surely, 2^157457536 is an apocalyptic number.

157457536 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 157457536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166688145).

157457536 is an abundant number, since it is smaller than the sum of its proper divisors (175918754).

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

157457536 is an frugal number, since it uses more digits than its factorization.

157457536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 288 counting only the distinct ones).

The product of its digits is 441000, while the sum is 43.

The square root of 157457536 is about 12548.2084777071. The cubic root of 157457536 is about 539.9926107814.

The spelling of 157457536 in words is "one hundred fifty-seven million, four hundred fifty-seven thousand, five hundred thirty-six".