145094880 has 288 divisors, whose sum is σ = 551577600. Its totient is φ = 31933440.

The previous prime is 145094861. The next prime is 145094893. The reversal of 145094880 is 88490541.

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 47 ways as a sum of consecutive naturals, for example, 729021 + ... + 729219.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2^145094880 is an apocalyptic number.

145094880 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 145094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

145094880 is an abundant number, since it is smaller than the sum of its proper divisors (406482720).

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

145094880 is a wasteful number, since it uses less digits than its factorization.

145094880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 145094880 is about 12045.5336120904. The cubic root of 145094880 is about 525.4733508666.

The spelling of 145094880 in words is "one hundred forty-five million, ninety-four thousand, eight hundred eighty".