145122352000440 has 128 divisors (see below), whose sum is σ = 454303820275200. Its totient is φ = 37016083427840.

The previous prime is 145122352000433. The next prime is 145122352000459. The reversal of 145122352000440 is 44000253221541.

It is a super-2 number, since 2×145122352000440² (a number of 29 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 (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173293930 + ... + 174129350.

It is an arithmetic number, because the mean of its divisors is an integer number (3549248595900).

Almost surely, 2^{145122352000440} is an apocalyptic number.

145122352000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145122352000440 is an abundant number, since it is smaller than the sum of its proper divisors (309181468274760).

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

145122352000440 is a wasteful number, since it uses less digits than its factorization.

145122352000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898397 (or 898393 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 145122352000440 in words is "one hundred forty-five trillion, one hundred twenty-two billion, three hundred fifty-two million, four hundred forty", and thus it is an aban number.