1325034144 has 144 divisors (see below), whose sum is σ = 4323533760. Its totient is φ = 377072640.

The previous prime is 1325034107. The next prime is 1325034197. The reversal of 1325034144 is 4414305231.

It is a happy number.

1325034144 is a `hidden beast` number, since 13 + 2 + 503 + 4 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1325034144³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565327 + ... + 567665.

It is an arithmetic number, because the mean of its divisors is an integer number (30024540).

Almost surely, 2^1325034144 is an apocalyptic number.

1325034144 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 1325034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161766880).

1325034144 is an abundant number, since it is smaller than the sum of its proper divisors (2998499616).

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

1325034144 is a wasteful number, since it uses less digits than its factorization.

1325034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1325034144 is about 36401.0184472907. The cubic root of 1325034144 is about 1098.3540518677.

Adding to 1325034144 its reverse (4414305231), we get a palindrome (5739339375).

The spelling of 1325034144 in words is "one billion, three hundred twenty-five million, thirty-four thousand, one hundred forty-four".