54738144 has 36 divisors (see below), whose sum is σ = 155662416. Its totient is φ = 18245952.

The previous prime is 54738139. The next prime is 54738149. The reversal of 54738144 is 44183745.

It is an interprime number because it is at equal distance from previous prime (54738139) and next prime (54738149).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 54738099 and 54738108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54738149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94744 + ... + 95319.

It is an arithmetic number, because the mean of its divisors is an integer number (4323956).

Almost surely, 2^54738144 is an apocalyptic number.

It is an amenable number.

54738144 is an abundant number, since it is smaller than the sum of its proper divisors (100924272).

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

54738144 is a wasteful number, since it uses less digits than its factorization.

54738144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190079 (or 190068 counting only the distinct ones).

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

The square root of 54738144 is about 7398.5230958618. The cubic root of 54738144 is about 379.6907548672.

The spelling of 54738144 in words is "fifty-four million, seven hundred thirty-eight thousand, one hundred forty-four".