135382052736 has 192 divisors, whose sum is σ = 445696074720. Its totient is φ = 38640070656.

The previous prime is 135382052713. The next prime is 135382052753. The reversal of 135382052736 is 637250283531.

135382052736 is a `hidden beast` number, since 1 + 353 + 8 + 20 + 5 + 273 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 135382052691 and 135382052700.

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, 8160546 + ... + 8177118.

Almost surely, 2^135382052736 is an apocalyptic number.

135382052736 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 135382052736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222848037360).

135382052736 is an abundant number, since it is smaller than the sum of its proper divisors (310314021984).

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

135382052736 is a wasteful number, since it uses less digits than its factorization.

135382052736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17613 (or 17598 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 135382052736 in words is "one hundred thirty-five billion, three hundred eighty-two million, fifty-two thousand, seven hundred thirty-six".