135747817056 has 144 divisors (see below), whose sum is σ = 401347883664. Its totient is φ = 45134267904.

The previous prime is 135747817043. The next prime is 135747817063. The reversal of 135747817056 is 650718747531.

135747817056 is a `hidden beast` number, since 1 + 3 + 57 + 478 + 1 + 70 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 135747816993 and 135747817011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3065086 + ... + 3109058.

It is an arithmetic number, because the mean of its divisors is an integer number (2787138081).

Almost surely, 2^135747817056 is an apocalyptic number.

135747817056 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 135747817056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200673941832).

135747817056 is an abundant number, since it is smaller than the sum of its proper divisors (265600066608).

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

135747817056 is an equidigital number, since it uses as much as digits as its factorization.

135747817056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44395 (or 44375 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 135747817056 in words is "one hundred thirty-five billion, seven hundred forty-seven million, eight hundred seventeen thousand, fifty-six".