1347023825136 has 480 divisors, whose sum is σ = 4370914529280. Its totient is φ = 383375462400.

The previous prime is 1347023825131. The next prime is 1347023825153. The reversal of 1347023825136 is 6315283207431.

1347023825136 is a `hidden beast` number, since 1 + 3 + 470 + 23 + 8 + 25 + 136 = 666.

It is a super-2 number, since 2×1347023825136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1347023825091 and 1347023825100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1347023825131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1033785861 + ... + 1033787163.

It is an arithmetic number, because the mean of its divisors is an integer number (9106071936).

Almost surely, 2^{1347023825136} is an apocalyptic number.

1347023825136 is a gapful number since it is divisible by the number (16) 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 1347023825136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185457264640).

1347023825136 is an abundant number, since it is smaller than the sum of its proper divisors (3023890704144).

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

1347023825136 is a wasteful number, since it uses less digits than its factorization.

1347023825136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1347023825136 in words is "one trillion, three hundred forty-seven billion, twenty-three million, eight hundred twenty-five thousand, one hundred thirty-six".