145584480 has 96 divisors (see below), whose sum is σ = 478566144. Its totient is φ = 37131776.

The previous prime is 145584451. The next prime is 145584493. The reversal of 145584480 is 84485541.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4447 + ... + 17633.

It is an arithmetic number, because the mean of its divisors is an integer number (4985064).

Almost surely, 2^145584480 is an apocalyptic number.

145584480 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 145584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239283072).

145584480 is an abundant number, since it is smaller than the sum of its proper divisors (332981664).

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

145584480 is a wasteful number, since it uses less digits than its factorization.

145584480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13228 (or 13220 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 145584480 is about 12065.8393823223. The cubic root of 145584480 is about 526.0637298871.

The spelling of 145584480 in words is "one hundred forty-five million, five hundred eighty-four thousand, four hundred eighty".