1325286144 has 576 divisors, whose sum is σ = 5036416000. Its totient is φ = 341397504.

The previous prime is 1325286139. The next prime is 1325286169. The reversal of 1325286144 is 4416825231.

It is a happy number.

1325286144 is a `hidden beast` number, since 1 + 32 + 5 + 2 + 8 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1325286099 and 1325286108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30820587 + ... + 30820629.

Almost surely, 2^1325286144 is an apocalyptic number.

1325286144 is a gapful number since it is divisible by the number (14) 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 1325286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518208000).

1325286144 is an abundant number, since it is smaller than the sum of its proper divisors (3711129856).

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

1325286144 is an equidigital number, since it uses as much as digits as its factorization.

1325286144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1325286144 is about 36404.4797243416. The cubic root of 1325286144 is about 1098.4236771619.

The spelling of 1325286144 in words is "one billion, three hundred twenty-five million, two hundred eighty-six thousand, one hundred forty-four".