145313344000 has 160 divisors (see below), whose sum is σ = 395290539072. Its totient is φ = 52840960000.

The previous prime is 145313343997. The next prime is 145313344009. The reversal of 145313344000 is 443313541.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×145313344000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145313344000.

It is not an unprimeable number, because it can be changed into a prime (145313344009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600795 + ... + 807205.

Almost surely, 2^145313344000 is an apocalyptic number.

145313344000 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 145313344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197645269536).

145313344000 is an abundant number, since it is smaller than the sum of its proper divisors (249977195072).

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

145313344000 is an equidigital number, since it uses as much as digits as its factorization.

145313344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206455 (or 206429 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 145313344000 its reverse (443313541), we get a palindrome (145756657541).

The spelling of 145313344000 in words is "one hundred forty-five billion, three hundred thirteen million, three hundred forty-four thousand".