135715382712000 has 1680 divisors, whose sum is σ = 628973777079648. Its totient is φ = 28634367283200.

The previous prime is 135715382711969. The next prime is 135715382712029. The reversal of 135715382712000 is 217283517531.

135715382712000 is a `hidden beast` number, since 1 + 3 + 5 + 71 + 538 + 27 + 1 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 412611607 + ... + 412940393.

Almost surely, 2^{135715382712000} is an apocalyptic number.

135715382712000 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 135715382712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314486888539824).

135715382712000 is an abundant number, since it is smaller than the sum of its proper divisors (493258394367648).

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

135715382712000 is a wasteful number, since it uses less digits than its factorization.

135715382712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328853 (or 328817 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 135715382712000 in words is "one hundred thirty-five trillion, seven hundred fifteen billion, three hundred eighty-two million, seven hundred twelve thousand".