145086480 has 240 divisors, whose sum is σ = 607711104. Its totient is φ = 30136320.

The previous prime is 145086457. The next prime is 145086499. The reversal of 145086480 is 84680541.

145086480 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 8 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54132 + ... + 56748.

Almost surely, 2^145086480 is an apocalyptic number.

145086480 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 145086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303855552).

145086480 is an abundant number, since it is smaller than the sum of its proper divisors (462624624).

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

145086480 is a wasteful number, since it uses less digits than its factorization.

145086480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 145086480 is about 12045.1849300872. The cubic root of 145086480 is about 525.4632102346.

The spelling of 145086480 in words is "one hundred forty-five million, eighty-six thousand, four hundred eighty".