145749720480 has 768 divisors, whose sum is σ = 604761292800. Its totient is φ = 28645539840.

The previous prime is 145749720451. The next prime is 145749720503. The reversal of 145749720480 is 84027947541.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50623681 + ... + 50626559.

It is an arithmetic number, because the mean of its divisors is an integer number (787449600).

Almost surely, 2^145749720480 is an apocalyptic number.

145749720480 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 145749720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302380646400).

145749720480 is an abundant number, since it is smaller than the sum of its proper divisors (459011572320).

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

145749720480 is a wasteful number, since it uses less digits than its factorization.

145749720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 145749720480 in words is "one hundred forty-five billion, seven hundred forty-nine million, seven hundred twenty thousand, four hundred eighty".