145865880 has 128 divisors (see below), whose sum is σ = 490406400. Its totient is φ = 38563200.

The previous prime is 145865851. The next prime is 145865891. The reversal of 145865880 is 88568541.

145865880 is a `hidden beast` number, since 14 + 58 + 6 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 140965 + ... + 141995.

It is an arithmetic number, because the mean of its divisors is an integer number (3831300).

Almost surely, 2^145865880 is an apocalyptic number.

145865880 is a gapful number since it is divisible by the number (10) 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 145865880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245203200).

145865880 is an abundant number, since it is smaller than the sum of its proper divisors (344540520).

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

145865880 is a wasteful number, since it uses less digits than its factorization.

145865880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 145865880 is about 12077.4947733377. The cubic root of 145865880 is about 526.4024543112.

The spelling of 145865880 in words is "one hundred forty-five million, eight hundred sixty-five thousand, eight hundred eighty".