146545641 has 36 divisors (see below), whose sum is σ = 239023876. Its totient is φ = 86391360.

The previous prime is 146545601. The next prime is 146545657.

146545641 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 4 + 5 + 641 = 666.

146545641 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 61168041 + 85377600 = 7821^2 + 9240^2 .

It is not a de Polignac number, because 146545641 - 2⁷ = 146545513 is a prime.

It is a super-2 number, since 2×146545641² = 42951249792201762, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 146545596 and 146545605.

It is not an unprimeable number, because it can be changed into a prime (146545601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38475 + ... + 42111.

Almost surely, 2^146545641 is an apocalyptic number.

146545641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146545641 is a deficient number, since it is larger than the sum of its proper divisors (92478235).

146545641 is a wasteful number, since it uses less digits than its factorization.

146545641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3688 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 146545641 is about 12105.6037024181. The cubic root of 146545641 is about 527.2188971196.

The spelling of 146545641 in words is "one hundred forty-six million, five hundred forty-five thousand, six hundred forty-one".