146766240 has 72 divisors (see below), whose sum is σ = 500844708. Its totient is φ = 39137280.

The previous prime is 146766239. The next prime is 146766259. The reversal of 146766240 is 42667641.

It can be written as a sum of positive squares in 2 ways, for example, as 122677776 + 24088464 = 11076^2 + 4908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146766195 and 146766204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49521 + ... + 52400.

Almost surely, 2^146766240 is an apocalyptic number.

146766240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146766240 is an abundant number, since it is smaller than the sum of its proper divisors (354078468).

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

146766240 is a wasteful number, since it uses less digits than its factorization.

146766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101942 (or 101931 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 146766240 is about 12114.7117175771. The cubic root of 146766240 is about 527.4833099696.

The spelling of 146766240 in words is "one hundred forty-six million, seven hundred sixty-six thousand, two hundred forty".