135282724710 has 128 divisors (see below), whose sum is σ = 375556414464. Its totient is φ = 30548759040.

The previous prime is 135282724697. The next prime is 135282724721. The reversal of 135282724710 is 17427282531.

It is a happy number.

135282724710 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×135282724710³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8373240 + ... + 8389380.

It is an arithmetic number, because the mean of its divisors is an integer number (2934034488).

Almost surely, 2^135282724710 is an apocalyptic number.

135282724710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135282724710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187778207232).

135282724710 is an abundant number, since it is smaller than the sum of its proper divisors (240273689754).

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

135282724710 is a wasteful number, since it uses less digits than its factorization.

135282724710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16638.

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 135282724710 in words is "one hundred thirty-five billion, two hundred eighty-two million, seven hundred twenty-four thousand, seven hundred ten".