48137280 has 112 divisors (see below), whose sum is σ = 156691584. Its totient is φ = 12513280.

The previous prime is 48137273. The next prime is 48137291. The reversal of 48137280 is 8273184.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 38749 + ... + 39971.

It is an arithmetic number, because the mean of its divisors is an integer number (1399032).

Almost surely, 2^48137280 is an apocalyptic number.

48137280 is a gapful number since it is divisible by the number (40) 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 48137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78345792).

48137280 is an abundant number, since it is smaller than the sum of its proper divisors (108554304).

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

48137280 is a wasteful number, since it uses less digits than its factorization.

48137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 48137280 is about 6938.1034872651. The cubic root of 48137280 is about 363.7702531206.

The spelling of 48137280 in words is "forty-eight million, one hundred thirty-seven thousand, two hundred eighty".