135468519753960 has 640 divisors, whose sum is σ = 462975140517120. Its totient is φ = 35523824652288.

The previous prime is 135468519753923. The next prime is 135468519754013. The reversal of 135468519753960 is 69357915864531.

135468519753960 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 6 + 8 + 519 + 75 + 39 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33260130484 + ... + 33260134556.

It is an arithmetic number, because the mean of its divisors is an integer number (723398657058).

Almost surely, 2^{135468519753960} is an apocalyptic number.

135468519753960 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 135468519753960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231487570258560).

135468519753960 is an abundant number, since it is smaller than the sum of its proper divisors (327506620763160).

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

135468519753960 is a wasteful number, since it uses less digits than its factorization.

135468519753960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 135468519753960 in words is "one hundred thirty-five trillion, four hundred sixty-eight billion, five hundred nineteen million, seven hundred fifty-three thousand, nine hundred sixty".