48135936 has 72 divisors (see below), whose sum is σ = 129139920. Its totient is φ = 15917056.

The previous prime is 48135929. The next prime is 48135953. The reversal of 48135936 is 63953184.

It is a junction number, because it is equal to n+sod(n) for n = 48135894 and 48135903.

It is a congruent number.

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, 178810 + ... + 179078.

It is an arithmetic number, because the mean of its divisors is an integer number (1793610).

Almost surely, 2^48135936 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 48135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64569960).

48135936 is an abundant number, since it is smaller than the sum of its proper divisors (81003984).

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

48135936 is a wasteful number, since it uses less digits than its factorization.

48135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 507 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 48135936 is about 6938.0066301496. The cubic root of 48135936 is about 363.7668675826.

The spelling of 48135936 in words is "forty-eight million, one hundred thirty-five thousand, nine hundred thirty-six".