135313494624 has 288 divisors, whose sum is σ = 495779397120. Its totient is φ = 35146172160.

The previous prime is 135313494623. The next prime is 135313494643. The reversal of 135313494624 is 426494313531.

135313494624 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 13 + 4 + 9 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×135313494624³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135313494624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135313494623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639357 + ... + 824259.

It is an arithmetic number, because the mean of its divisors is an integer number (1721456240).

Almost surely, 2^135313494624 is an apocalyptic number.

135313494624 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 135313494624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247889698560).

135313494624 is an abundant number, since it is smaller than the sum of its proper divisors (360465902496).

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

135313494624 is a wasteful number, since it uses less digits than its factorization.

135313494624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184951 (or 184926 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 135313494624 in words is "one hundred thirty-five billion, three hundred thirteen million, four hundred ninety-four thousand, six hundred twenty-four".