145514880 has 320 divisors, whose sum is σ = 595378080. Its totient is φ = 33177600.

The previous prime is 145514879. The next prime is 145514893. The reversal of 145514880 is 88415541.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362680 + ... + 363080.

Almost surely, 2^145514880 is an apocalyptic number.

145514880 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 145514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297689040).

145514880 is an abundant number, since it is smaller than the sum of its proper divisors (449863200).

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

145514880 is an equidigital number, since it uses as much as digits as its factorization.

145514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 145514880 is about 12062.9548618902. The cubic root of 145514880 is about 525.9798842467.

The spelling of 145514880 in words is "one hundred forty-five million, five hundred fourteen thousand, eight hundred eighty".