157306240 has 256 divisors, whose sum is σ = 481864320. Its totient is φ = 47775744.

The previous prime is 157306231. The next prime is 157306267. The reversal of 157306240 is 42603751.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 157306199 and 157306208.

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, 2154844 + ... + 2154916.

Almost surely, 2^157306240 is an apocalyptic number.

157306240 is a gapful number since it is divisible by the number (10) 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 157306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240932160).

157306240 is an abundant number, since it is smaller than the sum of its proper divisors (324558080).

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

157306240 is a wasteful number, since it uses less digits than its factorization.

157306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 157306240 is about 12542.1784391708. The cubic root of 157306240 is about 539.8196013776.

Adding to 157306240 its reverse (42603751), we get a palindrome (199909991).

The spelling of 157306240 in words is "one hundred fifty-seven million, three hundred six thousand, two hundred forty".