54738180 has 144 divisors (see below), whose sum is σ = 196909440. Its totient is φ = 12503808.

The previous prime is 54738179. The next prime is 54738191. The reversal of 54738180 is 8183745.

54738180 is a `hidden beast` number, since 5 + 473 + 8 + 180 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 33216 + ... + 34824.

Almost surely, 2^54738180 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 54738180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98454720).

54738180 is an abundant number, since it is smaller than the sum of its proper divisors (142171260).

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

54738180 is a wasteful number, since it uses less digits than its factorization.

54738180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 54738180 is about 7398.5255287794. The cubic root of 54738180 is about 379.6908381051.

The spelling of 54738180 in words is "fifty-four million, seven hundred thirty-eight thousand, one hundred eighty".