145018080 has 96 divisors (see below), whose sum is σ = 507578400. Its totient is φ = 38670336.

The previous prime is 145018079. The next prime is 145018091. The reversal of 145018080 is 80810541.

145018080 is a `hidden beast` number, since 1 + 4 + 501 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 12465 + ... + 21104.

It is an arithmetic number, because the mean of its divisors is an integer number (5287275).

Almost surely, 2^145018080 is an apocalyptic number.

145018080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145018080 is an abundant number, since it is smaller than the sum of its proper divisors (362560320).

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

145018080 is a wasteful number, since it uses less digits than its factorization.

145018080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33593 (or 33579 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 145018080 is about 12042.3452865295. The cubic root of 145018080 is about 525.3806219438.

The spelling of 145018080 in words is "one hundred forty-five million, eighteen thousand, eighty".