1296187152 has 80 divisors (see below), whose sum is σ = 3619560000. Its totient is φ = 397334016.

The previous prime is 1296187129. The next prime is 1296187153. The reversal of 1296187152 is 2517816921.

It is a super-2 number, since 2×1296187152² = 3360202266019742208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1296187153) 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 15 ways as a sum of consecutive naturals, for example, 169099 + ... + 176597.

It is an arithmetic number, because the mean of its divisors is an integer number (45244500).

Almost surely, 2^1296187152 is an apocalyptic number.

1296187152 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 1296187152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809780000).

1296187152 is an abundant number, since it is smaller than the sum of its proper divisors (2323372848).

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

1296187152 is a wasteful number, since it uses less digits than its factorization.

1296187152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7794 counting only the distinct ones).

The product of its digits is 60480, while the sum is 42.

The square root of 1296187152 is about 36002.5992394994. The cubic root of 1296187152 is about 1090.3248343080.

The spelling of 1296187152 in words is "one billion, two hundred ninety-six million, one hundred eighty-seven thousand, one hundred fifty-two".