1352131351560 has 192 divisors, whose sum is σ = 4794494664960. Its totient is φ = 327750144000.

The previous prime is 1352131351547. The next prime is 1352131351589. The reversal of 1352131351560 is 651531312531.

1352131351560 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 131 + 3 + 515 + 6 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 46242145 + ... + 46271375.

It is an arithmetic number, because the mean of its divisors is an integer number (24971326380).

Almost surely, 2^{1352131351560} is an apocalyptic number.

1352131351560 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 1352131351560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397247332480).

1352131351560 is an abundant number, since it is smaller than the sum of its proper divisors (3442363313400).

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

1352131351560 is a wasteful number, since it uses less digits than its factorization.

1352131351560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40940 (or 40933 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 1352131351560 in words is "one trillion, three hundred fifty-two billion, one hundred thirty-one million, three hundred fifty-one thousand, five hundred sixty".