135082505376 has 432 divisors, whose sum is σ = 509550920424. Its totient is φ = 33529724928.

The previous prime is 135082505329. The next prime is 135082505381. The reversal of 135082505376 is 673505280531.

135082505376 is a `hidden beast` number, since 1 + 3 + 508 + 25 + 0 + 53 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134193272976 + 889232400 = 366324^2 + 29820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3097096 + ... + 3140408.

Almost surely, 2^135082505376 is an apocalyptic number.

135082505376 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 135082505376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254775460212).

135082505376 is an abundant number, since it is smaller than the sum of its proper divisors (374468415048).

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

135082505376 is a wasteful number, since it uses less digits than its factorization.

135082505376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43373 (or 43355 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 135082505376 in words is "one hundred thirty-five billion, eighty-two million, five hundred five thousand, three hundred seventy-six".