135782007424 has 96 divisors (see below), whose sum is σ = 314937112500. Its totient is φ = 58142343168.

The previous prime is 135782007409. The next prime is 135782007461. The reversal of 135782007424 is 424700287531.

It can be written as a sum of positive squares in 2 ways, for example, as 121912705600 + 13869301824 = 349160^2 + 117768^2 .

It is a super-2 number, since 2×135782007424² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7825062 + ... + 7842394.

Almost surely, 2^135782007424 is an apocalyptic number.

135782007424 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 135782007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157468556250).

135782007424 is an abundant number, since it is smaller than the sum of its proper divisors (179155105076).

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

135782007424 is a wasteful number, since it uses less digits than its factorization.

135782007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18610 (or 18591 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 135782007424 in words is "one hundred thirty-five billion, seven hundred eighty-two million, seven thousand, four hundred twenty-four".