135747280 has 80 divisors (see below), whose sum is σ = 327121920. Its totient is φ = 52356096.

The previous prime is 135747263. The next prime is 135747299. The reversal of 135747280 is 82747531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296812 + ... + 297268.

It is an arithmetic number, because the mean of its divisors is an integer number (4089024).

Almost surely, 2^135747280 is an apocalyptic number.

135747280 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 135747280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163560960).

135747280 is an abundant number, since it is smaller than the sum of its proper divisors (191374640).

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

135747280 is a wasteful number, since it uses less digits than its factorization.

135747280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 135747280 is about 11651.0634707738. The cubic root of 135747280 is about 513.9375842090.

The spelling of 135747280 in words is "one hundred thirty-five million, seven hundred forty-seven thousand, two hundred eighty".