48137760 has 192 divisors, whose sum is σ = 183980160. Its totient is φ = 11658240.

The previous prime is 48137737. The next prime is 48137783. The reversal of 48137760 is 6773184.

It is an interprime number because it is at equal distance from previous prime (48137737) and next prime (48137783).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47014 + ... + 48026.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 2^48137760 is an apocalyptic number.

48137760 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 48137760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

48137760 is an abundant number, since it is smaller than the sum of its proper divisors (135842400).

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

48137760 is a wasteful number, since it uses less digits than its factorization.

48137760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 48137760 is about 6938.1380787644. The cubic root of 48137760 is about 363.7714622260.

The spelling of 48137760 in words is "forty-eight million, one hundred thirty-seven thousand, seven hundred sixty".