276129152 has 128 divisors (see below), whose sum is σ = 629233920. Its totient is φ = 119808000.

The previous prime is 276129107. The next prime is 276129169. The reversal of 276129152 is 251921672.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2733902 + ... + 2734002.

It is an arithmetic number, because the mean of its divisors is an integer number (4915890).

Almost surely, 2^276129152 is an apocalyptic number.

276129152 is the 13568-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314616960).

276129152 is an abundant number, since it is smaller than the sum of its proper divisors (353104768).

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

276129152 is a wasteful number, since it uses less digits than its factorization.

276129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 276129152 is about 16617.1342896421. The cubic root of 276129152 is about 651.1845476837.

It can be divided in two parts, 2761 and 29152, that added together give a palindrome (31913).

The spelling of 276129152 in words is "two hundred seventy-six million, one hundred twenty-nine thousand, one hundred fifty-two".