1524135340 has 96 divisors (see below), whose sum is σ = 4171112064. Its totient is φ = 453980160.

The previous prime is 1524135313. The next prime is 1524135343. The reversal of 1524135340 is 435314251.

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 = 1524135299 and 1524135308.

It is not an unprimeable number, because it can be changed into a prime (1524135343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6310 + ... + 55570.

It is an arithmetic number, because the mean of its divisors is an integer number (43449084).

Almost surely, 2^1524135340 is an apocalyptic number.

1524135340 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 1524135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085556032).

1524135340 is an abundant number, since it is smaller than the sum of its proper divisors (2646976724).

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

1524135340 is a wasteful number, since it uses less digits than its factorization.

1524135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49307 (or 49305 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1524135340 is about 39040.1759729641. The cubic root of 1524135340 is about 1150.8211753022.

Adding to 1524135340 its reverse (435314251), we get a palindrome (1959449591).

The spelling of 1524135340 in words is "one billion, five hundred twenty-four million, one hundred thirty-five thousand, three hundred forty".