157117240 has 64 divisors (see below), whose sum is σ = 412646400. Its totient is φ = 52718208.

The previous prime is 157117237. The next prime is 157117253. The reversal of 157117240 is 42711751.

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 = 157117199 and 157117208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7191 + ... + 19129.

It is an arithmetic number, because the mean of its divisors is an integer number (6447600).

Almost surely, 2^157117240 is an apocalyptic number.

157117240 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 157117240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206323200).

157117240 is an abundant number, since it is smaller than the sum of its proper divisors (255529160).

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

157117240 is a wasteful number, since it uses less digits than its factorization.

157117240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 12000 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 157117240 is about 12534.6415983864. The cubic root of 157117240 is about 539.6033209288.

Adding to 157117240 its reverse (42711751), we get a palindrome (199828991).

The spelling of 157117240 in words is "one hundred fifty-seven million, one hundred seventeen thousand, two hundred forty".