145486080 has 216 divisors, whose sum is σ = 513211608. Its totient is φ = 38043648.

The previous prime is 145486067. The next prime is 145486141. The reversal of 145486080 is 80684541.

145486080 is a `hidden beast` number, since 1 + 4 + 5 + 48 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 99680256 = 6768^2 + 9984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 840874 + ... + 841046.

Almost surely, 2^145486080 is an apocalyptic number.

145486080 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 145486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256605804).

145486080 is an abundant number, since it is smaller than the sum of its proper divisors (367725528).

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

145486080 is a wasteful number, since it uses less digits than its factorization.

145486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 145486080 is about 12061.7610654498. The cubic root of 145486080 is about 525.9451816784.

The spelling of 145486080 in words is "one hundred forty-five million, four hundred eighty-six thousand, eighty".