135376422715080 has 640 divisors, whose sum is σ = 490368650112000. Its totient is φ = 33372753960960.

The previous prime is 135376422715013. The next prime is 135376422715087. The reversal of 135376422715080 is 80517224673531.

135376422715080 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 7 + 64 + 2 + 2 + 71 + 508 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135376422715087) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2415725701 + ... + 2415781739.

It is an arithmetic number, because the mean of its divisors is an integer number (766201015800).

Almost surely, 2^{135376422715080} is an apocalyptic number.

135376422715080 is a gapful number since it is divisible by the number (10) 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 135376422715080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245184325056000).

135376422715080 is an abundant number, since it is smaller than the sum of its proper divisors (354992227396920).

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

135376422715080 is a wasteful number, since it uses less digits than its factorization.

135376422715080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56859 (or 56846 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 135376422715080 in words is "one hundred thirty-five trillion, three hundred seventy-six billion, four hundred twenty-two million, seven hundred fifteen thousand, eighty".