145382688 has 120 divisors (see below), whose sum is σ = 466527600. Its totient is φ = 44046720.

The previous prime is 145382687. The next prime is 145382689. The reversal of 145382688 is 886283541.

145382688 is a `hidden beast` number, since 14 + 538 + 26 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (145382687) and next prime (145382689).

It is a super-2 number, since 2×145382688² = 42272251940210688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145382683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25963 + ... + 31061.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2^145382688 is an apocalyptic number.

145382688 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 145382688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233263800).

145382688 is an abundant number, since it is smaller than the sum of its proper divisors (321144912).

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

145382688 is a wasteful number, since it uses less digits than its factorization.

145382688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5115 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 145382688 is about 12057.4743624028. The cubic root of 145382688 is about 525.8205617126.

It can be divided in two parts, 145382 and 688, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 145382688 in words is "one hundred forty-five million, three hundred eighty-two thousand, six hundred eighty-eight".