146418480 has 120 divisors (see below), whose sum is σ = 529580688. Its totient is φ = 36039168.

The previous prime is 146418473. The next prime is 146418491. The reversal of 146418480 is 84814641.

146418480 is a `hidden beast` number, since 1 + 4 + 641 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1539 + ... + 17181.

Almost surely, 2^146418480 is an apocalyptic number.

146418480 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 146418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264790344).

146418480 is an abundant number, since it is smaller than the sum of its proper divisors (383162208).

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

146418480 is a wasteful number, since it uses less digits than its factorization.

146418480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15675 (or 15666 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 146418480 is about 12100.3504081493. The cubic root of 146418480 is about 527.0663596979.

The spelling of 146418480 in words is "one hundred forty-six million, four hundred eighteen thousand, four hundred eighty".