145292093584 has 45 divisors (see below), whose sum is σ = 309456848659. Its totient is φ = 66034237280.

The previous prime is 145292093579. The next prime is 145292093587. The reversal of 145292093584 is 485390292541.

It is a happy number.

The square root of 145292093584 is 381172.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×145292093584² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145292093587) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16767237 + ... + 16775899.

Almost surely, 2^145292093584 is an apocalyptic number.

145292093584 is the 381172-nd square number.

It is an amenable number.

145292093584 is an abundant number, since it is smaller than the sum of its proper divisors (164164755075).

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

145292093584 is an frugal number, since it uses more digits than its factorization.

145292093584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17356 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 145292093584 in words is "one hundred forty-five billion, two hundred ninety-two million, ninety-three thousand, five hundred eighty-four".