1325915136000 has 3584 divisors, whose sum is σ = 6595056599040. Its totient is φ = 254803968000.

The previous prime is 1325915135989. The next prime is 1325915136113. The reversal of 1325915136000 is 6315195231.

It is a happy number.

1325915136000 is a `hidden beast` number, since 1 + 3 + 2 + 591 + 5 + 1 + 3 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42771455985 + ... + 42771456015.

It is an arithmetic number, because the mean of its divisors is an integer number (1840138560).

Almost surely, 2^{1325915136000} is an apocalyptic number.

1325915136000 is a gapful number since it is divisible by the number (10) 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 1325915136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297528299520).

1325915136000 is an abundant number, since it is smaller than the sum of its proper divisors (5269141463040).

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

1325915136000 is a wasteful number, since it uses less digits than its factorization.

1325915136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 1325915136000 in words is "one trillion, three hundred twenty-five billion, nine hundred fifteen million, one hundred thirty-six thousand".