274132855152 has 240 divisors, whose sum is σ = 883954708000. Its totient is φ = 78598563840.

The previous prime is 274132855151. The next prime is 274132855153. The reversal of 274132855152 is 251558231472.

274132855152 is a `hidden beast` number, since 2 + 7 + 41 + 3 + 2 + 8 + 551 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (274132855151) and next prime (274132855153).

It is a junction number, because it is equal to n+sod(n) for n = 274132855098 and 274132855107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274132855151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2106474 + ... + 2232822.

Almost surely, 2^274132855152 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 274132855152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441977354000).

274132855152 is an abundant number, since it is smaller than the sum of its proper divisors (609821852848).

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

274132855152 is a wasteful number, since it uses less digits than its factorization.

274132855152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126456 (or 126447 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 274132855152 in words is "two hundred seventy-four billion, one hundred thirty-two million, eight hundred fifty-five thousand, one hundred fifty-two".