145199817216 has 280 divisors, whose sum is σ = 441016384380. Its totient is φ = 47736926208.

The previous prime is 145199817193. The next prime is 145199817241. The reversal of 145199817216 is 612718991541.

The cubic root of 145199817216 is 5256.

It is a perfect power (a cube), and thus also a powerful number.

145199817216 is a `hidden beast` number, since 1 + 4 + 519 + 98 + 17 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133254201600 + 11945615616 = 365040^2 + 109296^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1989038556 + ... + 1989038628.

Almost surely, 2^145199817216 is an apocalyptic number.

145199817216 is a gapful number since it is divisible by the number (16) 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 145199817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220508192190).

145199817216 is an abundant number, since it is smaller than the sum of its proper divisors (295816567164).

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

145199817216 is an frugal number, since it uses more digits than its factorization.

145199817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 78 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The spelling of 145199817216 in words is "one hundred forty-five billion, one hundred ninety-nine million, eight hundred seventeen thousand, two hundred sixteen".