274950144 has 144 divisors (see below), whose sum is σ = 907976160. Its totient is φ = 78520320.

The previous prime is 274950139. The next prime is 274950149. The reversal of 274950144 is 441059472.

It is a happy number.

274950144 is a `hidden beast` number, since 27 + 495 + 0 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (274950139) and next prime (274950149).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 274950099 and 274950108.

It is not an unprimeable number, because it can be changed into a prime (274950149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127959 + ... + 130089.

It is an arithmetic number, because the mean of its divisors is an integer number (6305390).

Almost surely, 2^274950144 is an apocalyptic number.

274950144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453988080).

274950144 is an abundant number, since it is smaller than the sum of its proper divisors (633026016).

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

274950144 is a wasteful number, since it uses less digits than its factorization.

274950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 274950144 is about 16581.6206686801. The cubic root of 274950144 is about 650.2564226947.

The spelling of 274950144 in words is "two hundred seventy-four million, nine hundred fifty thousand, one hundred forty-four".