135058684000 has 192 divisors, whose sum is σ = 344000442240. Its totient is φ = 52051507200.

The previous prime is 135058683989. The next prime is 135058684091. The reversal of 135058684000 is 486850531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75747109 + ... + 75748891.

It is an arithmetic number, because the mean of its divisors is an integer number (1791668970).

Almost surely, 2^135058684000 is an apocalyptic number.

135058684000 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 135058684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172000221120).

135058684000 is an abundant number, since it is smaller than the sum of its proper divisors (208941758240).

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

135058684000 is a wasteful number, since it uses less digits than its factorization.

135058684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 135058684000 in words is "one hundred thirty-five billion, fifty-eight million, six hundred eighty-four thousand".