145993438080 has 288 divisors, whose sum is σ = 586442249640. Its totient is φ = 33369864192.

The previous prime is 145993438051. The next prime is 145993438081. The reversal of 145993438080 is 80834399541.

145993438080 is a `hidden beast` number, since 1 + 4 + 599 + 3 + 43 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145993438081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23607 + ... + 540873.

Almost surely, 2^145993438080 is an apocalyptic number.

145993438080 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 145993438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293221124820).

145993438080 is an abundant number, since it is smaller than the sum of its proper divisors (440448811560).

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

145993438080 is a wasteful number, since it uses less digits than its factorization.

145993438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517306 (or 517284 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 145993438080 in words is "one hundred forty-five billion, nine hundred ninety-three million, four hundred thirty-eight thousand, eighty".