276738144 has 48 divisors (see below), whose sum is σ = 727297200. Its totient is φ = 92136960.

The previous prime is 276738107. The next prime is 276738149. The reversal of 276738144 is 441837672.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 276738096 and 276738105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276738149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147774 + ... + 149634.

It is an arithmetic number, because the mean of its divisors is an integer number (15152025).

Almost surely, 2^276738144 is an apocalyptic number.

276738144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

276738144 is an abundant number, since it is smaller than the sum of its proper divisors (450559056).

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

276738144 is a wasteful number, since it uses less digits than its factorization.

276738144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3415 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 276738144 is about 16635.4484159580. The cubic root of 276738144 is about 651.6629168295.

The spelling of 276738144 in words is "two hundred seventy-six million, seven hundred thirty-eight thousand, one hundred forty-four".