135390851197056 has 576 divisors, whose sum is σ = 492402545406720. Its totient is φ = 34947727147008.

The previous prime is 135390851197027. The next prime is 135390851197057. The reversal of 135390851197056 is 650791158093531.

135390851197056 is a `hidden beast` number, since 1 + 3 + 5 + 390 + 8 + 5 + 1 + 197 + 0 + 56 = 666.

135390851197056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 135390851196984 and 135390851197002.

It is not an unprimeable number, because it can be changed into a prime (135390851197057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62995476 + ... + 65109228.

It is an arithmetic number, because the mean of its divisors is an integer number (854865530220).

Almost surely, 2^{135390851197056} is an apocalyptic number.

135390851197056 is a gapful number since it is divisible by the number (16) 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 135390851197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246201272703360).

135390851197056 is an abundant number, since it is smaller than the sum of its proper divisors (357011694209664).

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

135390851197056 is a wasteful number, since it uses less digits than its factorization.

135390851197056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113853 (or 2113825 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 135390851197056 in words is "one hundred thirty-five trillion, three hundred ninety billion, eight hundred fifty-one million, one hundred ninety-seven thousand, fifty-six".