273138048 has 128 divisors (see below), whose sum is σ = 853740000. Its totient is φ = 85671936.

The previous prime is 273138017. The next prime is 273138071. The reversal of 273138048 is 840831372.

273138048 is a `hidden beast` number, since 273 + 1 + 380 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 congruent number.

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, 56428 + ... + 61076.

Almost surely, 2^273138048 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 273138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426870000).

273138048 is an abundant number, since it is smaller than the sum of its proper divisors (580601952).

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

273138048 is a wasteful number, since it uses less digits than its factorization.

273138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 273138048 is about 16526.8886364010. Note that the first 3 decimals coincide. The cubic root of 273138048 is about 648.8247386246.

The spelling of 273138048 in words is "two hundred seventy-three million, one hundred thirty-eight thousand, forty-eight".