135562681703904 has 1152 divisors, whose sum is σ = 486927483678720. Its totient is φ = 32606945280000.

The previous prime is 135562681703903. The next prime is 135562681703963. The reversal of 135562681703904 is 409307186265531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135562681703903) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6951566154 + ... + 6951585654.

It is an arithmetic number, because the mean of its divisors is an integer number (422680107360).

It is a 1-persistent number, because it is pandigital, but 2⋅135562681703904 = 271125363407808 is not.

Almost surely, 2^{135562681703904} is an apocalyptic number.

135562681703904 is a gapful number since it is divisible by the number (14) 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 135562681703904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243463741839360).

135562681703904 is an abundant number, since it is smaller than the sum of its proper divisors (351364801974816).

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

135562681703904 is a wasteful number, since it uses less digits than its factorization.

135562681703904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19784 (or 19769 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 135562681703904 in words is "one hundred thirty-five trillion, five hundred sixty-two billion, six hundred eighty-one million, seven hundred three thousand, nine hundred four".