145213415312500 has 192 divisors, whose sum is σ = 320158863984960. Its totient is φ = 57628800000000.

The previous prime is 145213415312453. The next prime is 145213415312513. The reversal of 145213415312500 is 5213514312541.

It can be written as a sum of positive squares in 32 ways, for example, as 14036067432676 + 131177347879824 = 3746474^2 + 11453268^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145213415312500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26075309716 + ... + 26075315284.

It is an arithmetic number, because the mean of its divisors is an integer number (1667494083255).

Almost surely, 2^{145213415312500} is an apocalyptic number.

145213415312500 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 145213415312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160079431992480).

145213415312500 is an abundant number, since it is smaller than the sum of its proper divisors (174945448672460).

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

145213415312500 is an frugal number, since it uses more digits than its factorization.

145213415312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 145213415312500 in words is "one hundred forty-five trillion, two hundred thirteen billion, four hundred fifteen million, three hundred twelve thousand, five hundred".