146646144 has 48 divisors (see below), whose sum is σ = 421992870. Its totient is φ = 48881664.

The previous prime is 146646107. The next prime is 146646167. The reversal of 146646144 is 441646641.

146646144 is a `hidden beast` number, since 1 + 4 + 6 + 646 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99201600 + 47444544 = 9960^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146646099 and 146646108.

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 5 ways as a sum of consecutive naturals, for example, 62497 + ... + 64800.

Almost surely, 2^146646144 is an apocalyptic number.

It is an amenable number.

146646144 is an abundant number, since it is smaller than the sum of its proper divisors (275346726).

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

146646144 is a wasteful number, since it uses less digits than its factorization.

146646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127317 (or 127302 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 146646144 is about 12109.7540850341. The cubic root of 146646144 is about 527.3393942152.

The spelling of 146646144 in words is "one hundred forty-six million, six hundred forty-six thousand, one hundred forty-four".