145736242080 has 384 divisors, whose sum is σ = 541139429376. Its totient is φ = 32502681600.

The previous prime is 145736242039. The next prime is 145736242117. The reversal of 145736242080 is 80242637541.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21343627 + ... + 21350453.

It is an arithmetic number, because the mean of its divisors is an integer number (1409217264).

Almost surely, 2^145736242080 is an apocalyptic number.

145736242080 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 145736242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270569714688).

145736242080 is an abundant number, since it is smaller than the sum of its proper divisors (395403187296).

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

145736242080 is a wasteful number, since it uses less digits than its factorization.

145736242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7180 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 145736242080 in words is "one hundred forty-five billion, seven hundred thirty-six million, two hundred forty-two thousand, eighty".