146424960 has 192 divisors, whose sum is σ = 551828160. Its totient is φ = 35481600.

The previous prime is 146424959. The next prime is 146424977. The reversal of 146424960 is 69424641.

146424960 is a `hidden beast` number, since 1 + 4 + 642 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×146424960² = 42880537822003200, which contains 22 as substring.

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, 62205 + ... + 64515.

It is an arithmetic number, because the mean of its divisors is an integer number (2874105).

Almost surely, 2^146424960 is an apocalyptic number.

146424960 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 146424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275914080).

146424960 is an abundant number, since it is smaller than the sum of its proper divisors (405403200).

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

146424960 is a wasteful number, since it uses less digits than its factorization.

146424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146424960 is about 12100.6181660277. The cubic root of 146424960 is about 527.0741349906.

The spelling of 146424960 in words is "one hundred forty-six million, four hundred twenty-four thousand, nine hundred sixty".