135037984 has 48 divisors (see below), whose sum is σ = 276224256. Its totient is φ = 64915200.

The previous prime is 135037963. The next prime is 135037993. The reversal of 135037984 is 489730531.

135037984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195079 + ... + 195769.

It is an arithmetic number, because the mean of its divisors is an integer number (5754672).

Almost surely, 2^135037984 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 135037984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138112128).

135037984 is an abundant number, since it is smaller than the sum of its proper divisors (141186272).

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

135037984 is a wasteful number, since it uses less digits than its factorization.

135037984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 135037984 is about 11620.5844947662. The cubic root of 135037984 is about 513.0408918813.

The spelling of 135037984 in words is "one hundred thirty-five million, thirty-seven thousand, nine hundred eighty-four".