135606681191520 has 3840 divisors, whose sum is σ = 642651538636800. Its totient is φ = 26109105684480.

The previous prime is 135606681191507. The next prime is 135606681191587. The reversal of 135606681191520 is 25191186606531.

It is a happy number.

135606681191520 is a `hidden beast` number, since 1 + 3 + 5 + 606 + 6 + 8 + 1 + 1 + 9 + 1 + 5 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 73419967237 + ... + 73419969083.

It is an arithmetic number, because the mean of its divisors is an integer number (167357171520).

Almost surely, 2^{135606681191520} is an apocalyptic number.

135606681191520 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 135606681191520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321325769318400).

135606681191520 is an abundant number, since it is smaller than the sum of its proper divisors (507044857445280).

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

135606681191520 is a wasteful number, since it uses less digits than its factorization.

135606681191520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 135606681191520 in words is "one hundred thirty-five trillion, six hundred six billion, six hundred eighty-one million, one hundred ninety-one thousand, five hundred twenty".