145128592 has 60 divisors (see below), whose sum is σ = 346367340. Its totient is φ = 58533888.

The previous prime is 145128583. The next prime is 145128601. The reversal of 145128592 is 295821541.

It is an interprime number because it is at equal distance from previous prime (145128583) and next prime (145128601).

It can be written as a sum of positive squares in 2 ways, for example, as 50183056 + 94945536 = 7084^2 + 9744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7884 + ... + 18772.

It is an arithmetic number, because the mean of its divisors is an integer number (5772789).

Almost surely, 2^145128592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145128592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173183670).

145128592 is an abundant number, since it is smaller than the sum of its proper divisors (201238748).

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

145128592 is a wasteful number, since it uses less digits than its factorization.

145128592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10928 (or 10915 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 145128592 is about 12046.9328876690. The cubic root of 145128592 is about 525.5140446659.

It can be divided in two parts, 14512 and 8592, that added together give a square (23104 = 152²).

The spelling of 145128592 in words is "one hundred forty-five million, one hundred twenty-eight thousand, five hundred ninety-two".