1276105152 has 224 divisors, whose sum is σ = 4016922624. Its totient is φ = 349977600.

The previous prime is 1276105139. The next prime is 1276105157. The reversal of 1276105152 is 2515016721.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1276105157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4103077 + ... + 4103387.

Almost surely, 2^1276105152 is an apocalyptic number.

1276105152 is a gapful number since it is divisible by the number (12) 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 1276105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008461312).

1276105152 is an abundant number, since it is smaller than the sum of its proper divisors (2740817472).

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

1276105152 is a wasteful number, since it uses less digits than its factorization.

1276105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 1276105152 is about 35722.6140140948. The cubic root of 1276105152 is about 1084.6646523213.

The spelling of 1276105152 in words is "one billion, two hundred seventy-six million, one hundred five thousand, one hundred fifty-two".