135389739264 has 432 divisors, whose sum is σ = 407821954176. Its totient is φ = 39631749120.

The previous prime is 135389739187. The next prime is 135389739293. The reversal of 135389739264 is 462937983531.

It is a junction number, because it is equal to n+sod(n) for n = 135389739198 and 135389739207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988246204 + ... + 988246340.

Almost surely, 2^135389739264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135389739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203910977088).

135389739264 is an abundant number, since it is smaller than the sum of its proper divisors (272432214912).

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

135389739264 is a wasteful number, since it uses less digits than its factorization.

135389739264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 289 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 60.

The spelling of 135389739264 in words is "one hundred thirty-five billion, three hundred eighty-nine million, seven hundred thirty-nine thousand, two hundred sixty-four".