48137544 has 256 divisors, whose sum is σ = 172032000. Its totient is φ = 12130560.

The previous prime is 48137527. The next prime is 48137549. The reversal of 48137544 is 44573184.

48137544 is a `hidden beast` number, since 4 + 81 + 37 + 544 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 48137544 = 114³ + 360³ = 226³ + 332³.

It is a junction number, because it is equal to n+sod(n) for n = 48137499 and 48137508.

It is not an unprimeable number, because it can be changed into a prime (48137549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609297 + ... + 609375.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 2^48137544 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 48137544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86016000).

48137544 is an abundant number, since it is smaller than the sum of its proper divisors (123894456).

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

48137544 is a wasteful number, since it uses less digits than its factorization.

48137544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 48137544 is about 6938.1225126110. The cubic root of 48137544 is about 363.7709181296.

It can be divided in two parts, 481 and 37544, that added together give a square (38025 = 195²).

The spelling of 48137544 in words is "forty-eight million, one hundred thirty-seven thousand, five hundred forty-four".