145480608 has 324 divisors, whose sum is σ = 529665318. Its totient is φ = 37739520.

The previous prime is 145480583. The next prime is 145480627. The reversal of 145480608 is 806084541.

145480608 is a `hidden beast` number, since 1 + 4 + 5 + 48 + 0 + 608 = 666.

145480608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 31674384 + 113806224 = 5628^2 + 10668^2 .

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 53 ways as a sum of consecutive naturals, for example, 2384898 + ... + 2384958.

Almost surely, 2^145480608 is an apocalyptic number.

145480608 is a gapful number since it is divisible by the number (18) 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 145480608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264832659).

145480608 is an abundant number, since it is smaller than the sum of its proper divisors (384184710).

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

145480608 is a wasteful number, since it uses less digits than its factorization.

145480608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

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

The square root of 145480608 is about 12061.5342307685. The cubic root of 145480608 is about 525.9385876728.

The spelling of 145480608 in words is "one hundred forty-five million, four hundred eighty thousand, six hundred eight".