145928080 has 80 divisors (see below), whose sum is σ = 349691904. Its totient is φ = 56609280.

The previous prime is 145928053. The next prime is 145928131. The reversal of 145928080 is 80829541.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 538345 + ... + 538615.

Almost surely, 2^145928080 is an apocalyptic number.

145928080 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 145928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174845952).

145928080 is an abundant number, since it is smaller than the sum of its proper divisors (203763824).

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

145928080 is a wasteful number, since it uses less digits than its factorization.

145928080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 145928080 is about 12080.0695362237. The cubic root of 145928080 is about 526.4772663686.

The spelling of 145928080 in words is "one hundred forty-five million, nine hundred twenty-eight thousand, eighty".