146508480 has 224 divisors, whose sum is σ = 534497280. Its totient is φ = 37739520.

The previous prime is 146508443. The next prime is 146508491. The reversal of 146508480 is 84805641.

146508480 is a `hidden beast` number, since 146 + 508 + 4 + 8 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 267567 + ... + 268113.

Almost surely, 2^146508480 is an apocalyptic number.

146508480 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 146508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267248640).

146508480 is an abundant number, since it is smaller than the sum of its proper divisors (387988800).

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

146508480 is a wasteful number, since it uses less digits than its factorization.

146508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

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

The square root of 146508480 is about 12104.0687374122. The cubic root of 146508480 is about 527.1743293486.

The spelling of 146508480 in words is "one hundred forty-six million, five hundred eight thousand, four hundred eighty".