145316500224 has 144 divisors (see below), whose sum is σ = 446297359872. Its totient is φ = 41115746304.

The previous prime is 145316500213. The next prime is 145316500267. The reversal of 145316500224 is 422005613541.

It is a super-2 number, since 2×145316500224² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422512 + ... + 684944.

Almost surely, 2^145316500224 is an apocalyptic number.

145316500224 is a gapful number since it is divisible by the number (14) 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 145316500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223148679936).

145316500224 is an abundant number, since it is smaller than the sum of its proper divisors (300980859648).

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

145316500224 is a wasteful number, since it uses less digits than its factorization.

145316500224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262562 (or 262548 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 145316500224 in words is "one hundred forty-five billion, three hundred sixteen million, five hundred thousand, two hundred twenty-four".