146280240 has 360 divisors, whose sum is σ = 564167760. Its totient is φ = 33841152.

The previous prime is 146280217. The next prime is 146280301. The reversal of 146280240 is 42082641.

146280240 is a `hidden beast` number, since 14 + 628 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×146280240² = 42795817228915200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3953502 + ... + 3953538.

Almost surely, 2^146280240 is an apocalyptic number.

146280240 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 146280240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282083880).

146280240 is an abundant number, since it is smaller than the sum of its proper divisors (417887520).

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

146280240 is a wasteful number, since it uses less digits than its factorization.

146280240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 146280240 is about 12094.6368279498. The cubic root of 146280240 is about 526.9004321087.

The spelling of 146280240 in words is "one hundred forty-six million, two hundred eighty thousand, two hundred forty".