135319609824 has 288 divisors, whose sum is σ = 431409678336. Its totient is φ = 36317445120.

The previous prime is 135319609811. The next prime is 135319609829. The reversal of 135319609824 is 428906913531.

It is a super-2 number, since 2×135319609824² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135319609829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322958287 + ... + 322958705.

It is an arithmetic number, because the mean of its divisors is an integer number (1497950272).

Almost surely, 2^135319609824 is an apocalyptic number.

135319609824 is a gapful number since it is divisible by the number (14) 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 135319609824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215704839168).

135319609824 is an abundant number, since it is smaller than the sum of its proper divisors (296090068512).

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

135319609824 is an equidigital number, since it uses as much as digits as its factorization.

135319609824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 135319609824 in words is "one hundred thirty-five billion, three hundred nineteen million, six hundred nine thousand, eight hundred twenty-four".