145292688 has 60 divisors (see below), whose sum is σ = 410262060. Its totient is φ = 47996928.

The previous prime is 145292687. The next prime is 145292723. The reversal of 145292688 is 886292541.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 141419664 = 1968^2 + 11892^2 .

It is a super-2 number, since 2×145292688² = 42219930372530688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145292681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11808 + ... + 20736.

It is an arithmetic number, because the mean of its divisors is an integer number (6837701).

Almost surely, 2^145292688 is an apocalyptic number.

145292688 is a gapful number since it is divisible by the number (18) 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 145292688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205131030).

145292688 is an abundant number, since it is smaller than the sum of its proper divisors (264969372).

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

145292688 is a wasteful number, since it uses less digits than its factorization.

145292688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9047 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 145292688 is about 12053.7416597503. The cubic root of 145292688 is about 525.7120352208.

The spelling of 145292688 in words is "one hundred forty-five million, two hundred ninety-two thousand, six hundred eighty-eight".