515742156 has 72 divisors (see below), whose sum is σ = 1432005120. Its totient is φ = 155780064.

The previous prime is 515742151. The next prime is 515742167. The reversal of 515742156 is 651247515.

515742156 is a `hidden beast` number, since 515 + 74 + 21 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 515742156.

It is not an unprimeable number, because it can be changed into a prime (515742151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660 + ... + 32123.

It is an arithmetic number, because the mean of its divisors is an integer number (19888960).

Almost surely, 2^515742156 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 515742156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716002560).

515742156 is an abundant number, since it is smaller than the sum of its proper divisors (916262964).

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

515742156 is a wasteful number, since it uses less digits than its factorization.

515742156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32835 (or 32830 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 515742156 is about 22709.9571994313. The cubic root of 515742156 is about 801.9443103268.

The spelling of 515742156 in words is "five hundred fifteen million, seven hundred forty-two thousand, one hundred fifty-six".