135287792640 has 1584 divisors, whose sum is σ = 642163878720. Its totient is φ = 25887375360.

The previous prime is 135287792611. The next prime is 135287792657. The reversal of 135287792640 is 46297782531.

It is a happy number.

135287792640 is a `hidden beast` number, since 1 + 3 + 528 + 7 + 79 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322882351 + ... + 322882769.

It is a 1-persistent number, because it is pandigital, but 2⋅135287792640 = 270575585280 is not.

Almost surely, 2^135287792640 is an apocalyptic number.

135287792640 is a gapful number since it is divisible by the number (10) 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 135287792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321081939360).

135287792640 is an abundant number, since it is smaller than the sum of its proper divisors (506876086080).

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

135287792640 is a wasteful number, since it uses less digits than its factorization.

135287792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 135287792640 in words is "one hundred thirty-five billion, two hundred eighty-seven million, seven hundred ninety-two thousand, six hundred forty".