1352133356540 has 96 divisors (see below), whose sum is σ = 2986998626304. Its totient is φ = 513609062400.

The previous prime is 1352133356521. The next prime is 1352133356647. The reversal of 1352133356540 is 456533312531.

It is a super-2 number, since 2×1352133356540² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5992652 + ... + 6214188.

It is an arithmetic number, because the mean of its divisors is an integer number (31114569024).

Almost surely, 2^{1352133356540} is an apocalyptic number.

1352133356540 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 1352133356540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493499313152).

1352133356540 is an abundant number, since it is smaller than the sum of its proper divisors (1634865269764).

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

1352133356540 is a wasteful number, since it uses less digits than its factorization.

1352133356540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221787 (or 221785 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 41.

The spelling of 1352133356540 in words is "one trillion, three hundred fifty-two billion, one hundred thirty-three million, three hundred fifty-six thousand, five hundred forty".