135572011280 has 60 divisors (see below), whose sum is σ = 318177408780. Its totient is φ = 53717665536.

The previous prime is 135572011277. The next prime is 135572011283. The reversal of 135572011280 is 82110275531.

It is an interprime number because it is at equal distance from previous prime (135572011277) and next prime (135572011283).

It can be written as a sum of positive squares in 2 ways, for example, as 71890479376 + 63681531904 = 268124^2 + 252352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135572011280.

It is not an unprimeable number, because it can be changed into a prime (135572011283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34380989 + ... + 34384931.

It is an arithmetic number, because the mean of its divisors is an integer number (5302956813).

Almost surely, 2^135572011280 is an apocalyptic number.

135572011280 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 135572011280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159088704390).

135572011280 is an abundant number, since it is smaller than the sum of its proper divisors (182605397500).

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

135572011280 is an frugal number, since it uses more digits than its factorization.

135572011280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The spelling of 135572011280 in words is "one hundred thirty-five billion, five hundred seventy-two million, eleven thousand, two hundred eighty".