1530145353000 has 512 divisors, whose sum is σ = 5371411968000. Its totient is φ = 359488640000.

The previous prime is 1530145352977. The next prime is 1530145353019. The reversal of 1530145353000 is 3535410351.

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 127 ways as a sum of consecutive naturals, for example, 138231466 + ... + 138242534.

It is an arithmetic number, because the mean of its divisors is an integer number (10491039000).

Almost surely, 2^{1530145353000} is an apocalyptic number.

1530145353000 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 1530145353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685705984000).

1530145353000 is an abundant number, since it is smaller than the sum of its proper divisors (3841266615000).

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

1530145353000 is a wasteful number, since it uses less digits than its factorization.

1530145353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234 (or 11220 counting only the distinct ones).

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

The spelling of 1530145353000 in words is "one trillion, five hundred thirty billion, one hundred forty-five million, three hundred fifty-three thousand".