1353005145150 has 192 divisors, whose sum is σ = 3569165933760. Its totient is φ = 338020761600.

The previous prime is 1353005145143. The next prime is 1353005145169. The reversal of 1353005145150 is 515415003531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593162010 + ... + 593164290.

It is an arithmetic number, because the mean of its divisors is an integer number (18589405905).

Almost surely, 2^{1353005145150} is an apocalyptic number.

1353005145150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353005145150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784582966880).

1353005145150 is an abundant number, since it is smaller than the sum of its proper divisors (2216160788610).

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

1353005145150 is a wasteful number, since it uses less digits than its factorization.

1353005145150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 1353005145150 in words is "one trillion, three hundred fifty-three billion, five million, one hundred forty-five thousand, one hundred fifty".