135705472 has 64 divisors (see below), whose sum is σ = 310602240. Its totient is φ = 57853440.

The previous prime is 135705461. The next prime is 135705473. The reversal of 135705472 is 274507531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135705473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278413 + ... + 278899.

It is an arithmetic number, because the mean of its divisors is an integer number (4853160).

Almost surely, 2^135705472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155301120).

135705472 is an abundant number, since it is smaller than the sum of its proper divisors (174896768).

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

135705472 is an equidigital number, since it uses as much as digits as its factorization.

135705472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 135705472 is about 11649.2691616255. The cubic root of 135705472 is about 513.8848172616.

The spelling of 135705472 in words is "one hundred thirty-five million, seven hundred five thousand, four hundred seventy-two".