1353502135200 has 576 divisors, whose sum is σ = 4672830919680. Its totient is φ = 339738624000.

The previous prime is 1353502135171. The next prime is 1353502135211. The reversal of 1353502135200 is 25312053531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 1760080416 + ... + 1760081184.

It is an arithmetic number, because the mean of its divisors is an integer number (8112553680).

Almost surely, 2^{1353502135200} is an apocalyptic number.

1353502135200 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 1353502135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336415459840).

1353502135200 is an abundant number, since it is smaller than the sum of its proper divisors (3319328784480).

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

1353502135200 is a wasteful number, since it uses less digits than its factorization.

1353502135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 1353502135200 its reverse (25312053531), we get a palindrome (1378814188731).

The spelling of 1353502135200 in words is "one trillion, three hundred fifty-three billion, five hundred two million, one hundred thirty-five thousand, two hundred".