135954784005120 has 2112 divisors, whose sum is σ = 531018562314240. Its totient is φ = 33259944148992.

The previous prime is 135954784005049. The next prime is 135954784005181. The reversal of 135954784005120 is 21500487459531.

135954784005120 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 5 + 47 + 84 + 0 + 0 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77290950801 + ... + 77290952559.

It is an arithmetic number, because the mean of its divisors is an integer number (251429243520).

Almost surely, 2^{135954784005120} is an apocalyptic number.

135954784005120 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 135954784005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265509281157120).

135954784005120 is an abundant number, since it is smaller than the sum of its proper divisors (395063778309120).

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

135954784005120 is a wasteful number, since it uses less digits than its factorization.

135954784005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 135954784005120 in words is "one hundred thirty-five trillion, nine hundred fifty-four billion, seven hundred eighty-four million, five thousand, one hundred twenty".