1535123312340 has 96 divisors (see below), whose sum is σ = 4373615070720. Its totient is φ = 402212428800.

The previous prime is 1535123312329. The next prime is 1535123312351. The reversal of 1535123312340 is 432133215351.

It is an interprime number because it is at equal distance from previous prime (1535123312329) and next prime (1535123312351).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3104056 + ... + 3564464.

It is an arithmetic number, because the mean of its divisors is an integer number (45558490320).

Almost surely, 2^{1535123312340} is an apocalyptic number.

1535123312340 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 1535123312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186807535360).

1535123312340 is an abundant number, since it is smaller than the sum of its proper divisors (2838491758380).

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

1535123312340 is a wasteful number, since it uses less digits than its factorization.

1535123312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461393 (or 461391 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 1535123312340 its reverse (432133215351), we get a palindrome (1967256527691).

The spelling of 1535123312340 in words is "one trillion, five hundred thirty-five billion, one hundred twenty-three million, three hundred twelve thousand, three hundred forty".