145823688 has 96 divisors (see below), whose sum is σ = 422393400. Its totient is φ = 45287424.

The previous prime is 145823683. The next prime is 145823701. The reversal of 145823688 is 886328541.

145823688 is a `hidden beast` number, since 1 + 4 + 582 + 3 + 68 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140707044 + 5116644 = 11862^2 + 2262^2 .

It is not an unprimeable number, because it can be changed into a prime (145823681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132870 + ... + 133962.

Almost surely, 2^145823688 is an apocalyptic number.

145823688 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 145823688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211196700).

145823688 is an abundant number, since it is smaller than the sum of its proper divisors (276569712).

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

145823688 is a wasteful number, since it uses less digits than its factorization.

145823688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

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

The square root of 145823688 is about 12075.7479271472. The cubic root of 145823688 is about 526.3516950929.

The spelling of 145823688 in words is "one hundred forty-five million, eight hundred twenty-three thousand, six hundred eighty-eight".