56135484 has 48 divisors (see below), whose sum is σ = 148646400. Its totient is φ = 18312048.

The previous prime is 56135483. The next prime is 56135501. The reversal of 56135484 is 48453165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56135483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454 + ... + 10605.

It is an arithmetic number, because the mean of its divisors is an integer number (3096800).

Almost surely, 2^56135484 is an apocalyptic number.

56135484 is a gapful number since it is divisible by the number (54) 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 56135484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74323200).

56135484 is an abundant number, since it is smaller than the sum of its proper divisors (92510916).

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

56135484 is a wasteful number, since it uses less digits than its factorization.

56135484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11119 (or 11111 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 56135484 is about 7492.3617104355. The cubic root of 56135484 is about 382.8945256489.

The spelling of 56135484 in words is "fifty-six million, one hundred thirty-five thousand, four hundred eighty-four".