135929640960 has 288 divisors, whose sum is σ = 483852489120. Its totient is φ = 35267346432.

The previous prime is 135929640949. The next prime is 135929640967. The reversal of 135929640960 is 69046929531.

135929640960 is a `hidden beast` number, since 1 + 3 + 5 + 92 + 96 + 409 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135929640897 and 135929640906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135929640967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3389989 + ... + 3429851.

It is an arithmetic number, because the mean of its divisors is an integer number (1680043365).

Almost surely, 2^135929640960 is an apocalyptic number.

135929640960 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 135929640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241926244560).

135929640960 is an abundant number, since it is smaller than the sum of its proper divisors (347922848160).

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

135929640960 is a wasteful number, since it uses less digits than its factorization.

135929640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39933 (or 39910 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 135929640960 in words is "one hundred thirty-five billion, nine hundred twenty-nine million, six hundred forty thousand, nine hundred sixty".