145043438064 has 80 divisors (see below), whose sum is σ = 428724012288. Its totient is φ = 41392544256.

The previous prime is 145043438041. The next prime is 145043438069. The reversal of 145043438064 is 460834340541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145043438069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36099 + ... + 539805.

Almost surely, 2^145043438064 is an apocalyptic number.

145043438064 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 145043438064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214362006144).

145043438064 is an abundant number, since it is smaller than the sum of its proper divisors (283680574224).

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

145043438064 is a wasteful number, since it uses less digits than its factorization.

145043438064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504582 (or 504576 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 145043438064 in words is "one hundred forty-five billion, forty-three million, four hundred thirty-eight thousand, sixty-four".