145405424000 has 64 divisors (see below), whose sum is σ = 361514275200. Its totient is φ = 58162163200.

The previous prime is 145405423991. The next prime is 145405424023. The reversal of 145405424000 is 424504541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×145405424000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4527920 + ... + 4559919.

It is an arithmetic number, because the mean of its divisors is an integer number (5648660550).

Almost surely, 2^145405424000 is an apocalyptic number.

145405424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145405424000 is an abundant number, since it is smaller than the sum of its proper divisors (216108851200).

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

145405424000 is an frugal number, since it uses more digits than its factorization.

145405424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087868 (or 9087846 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 145405424000 its reverse (424504541), we get a palindrome (145829928541).

The spelling of 145405424000 in words is "one hundred forty-five billion, four hundred five million, four hundred twenty-four thousand".