145584080 has 90 divisors (see below), whose sum is σ = 362337858. Its totient is φ = 54391680.

The previous prime is 145584077. The next prime is 145584121. The reversal of 145584080 is 80485541.

It can be written as a sum of positive squares in only one way, i.e., 116467264 + 29116816 = 10792^2 + 5396^2 .

It is a super-3 number, since 3×145584080³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145584080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2050445 + ... + 2050515.

Almost surely, 2^145584080 is an apocalyptic number.

145584080 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 145584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181168929).

145584080 is an abundant number, since it is smaller than the sum of its proper divisors (216753778).

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

145584080 is an equidigital number, since it uses as much as digits as its factorization.

145584080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 145584080 is about 12065.8228065889. The cubic root of 145584080 is about 526.0632480919.

The spelling of 145584080 in words is "one hundred forty-five million, five hundred eighty-four thousand, eighty".