1296145920 has 80 divisors (see below), whose sum is σ = 4143641040. Its totient is φ = 345636864.

The previous prime is 1296145883. The next prime is 1296145973. The reversal of 1296145920 is 295416921.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 76705 + ... + 92064.

It is an arithmetic number, because the mean of its divisors is an integer number (51795513).

Almost surely, 2^1296145920 is an apocalyptic number.

1296145920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1296145920 is an abundant number, since it is smaller than the sum of its proper divisors (2847495120).

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

1296145920 is an equidigital number, since it uses as much as digits as its factorization.

1296145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168795 (or 168779 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1296145920 is about 36002.0266096230. The cubic root of 1296145920 is about 1090.3132730274.

The spelling of 1296145920 in words is "one billion, two hundred ninety-six million, one hundred forty-five thousand, nine hundred twenty".