1352147136480 has 432 divisors, whose sum is σ = 5399729244000. Its totient is φ = 307208853504.

The previous prime is 1352147136469. The next prime is 1352147136481. The reversal of 1352147136480 is 846317412531.

1352147136480 is a `hidden beast` number, since 1 + 3 + 5 + 214 + 71 + 364 + 8 + 0 = 666.

It is a super-3 number, since 3×1352147136480³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352147136481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11726146 + ... + 11840894.

It is an arithmetic number, because the mean of its divisors is an integer number (12499373250).

Almost surely, 2^{1352147136480} is an apocalyptic number.

1352147136480 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 1352147136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699864622000).

1352147136480 is an abundant number, since it is smaller than the sum of its proper divisors (4047582107520).

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

1352147136480 is a wasteful number, since it uses less digits than its factorization.

1352147136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114951 (or 114933 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1352147136480 in words is "one trillion, three hundred fifty-two billion, one hundred forty-seven million, one hundred thirty-six thousand, four hundred eighty".