135153287424 has 567 divisors, whose sum is σ = 434570549133. Its totient is φ = 41927694336.

The previous prime is 135153287419. The next prime is 135153287429. The reversal of 135153287424 is 424782351531.

The square root of 135153287424 is 367632.

It is a perfect power (a square), and thus also a powerful number.

135153287424 is a `hidden beast` number, since 1 + 3 + 515 + 32 + 87 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (135153287419) and next prime (135153287429).

It can be written as a sum of positive squares in only one way, i.e., 120937017600 + 14216269824 = 347760^2 + 119232^2 .

It is a super-2 number, since 2×135153287424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135153287424.

It is not an unprimeable number, because it can be changed into a prime (135153287429) 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 62 ways as a sum of consecutive naturals, for example, 3652791534 + ... + 3652791570.

Almost surely, 2^135153287424 is an apocalyptic number.

135153287424 is the 367632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135153287424

135153287424 is an abundant number, since it is smaller than the sum of its proper divisors (299417261709).

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

135153287424 is an frugal number, since it uses more digits than its factorization.

135153287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 65 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 135153287424 in words is "one hundred thirty-five billion, one hundred fifty-three million, two hundred eighty-seven thousand, four hundred twenty-four".