146787641 has 24 divisors (see below), whose sum is σ = 198593472. Its totient is φ = 105573600.

The previous prime is 146787623. The next prime is 146787649.

146787641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146787641 - 2²² = 142593337 is a prime.

It is a super-2 number, since 2×146787641² = 43093223100689762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146787592 and 146787601.

It is not an unprimeable number, because it can be changed into a prime (146787649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4346 + ... + 17676.

It is an arithmetic number, because the mean of its divisors is an integer number (8274728).

Almost surely, 2^146787641 is an apocalyptic number.

146787641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146787641 is a deficient number, since it is larger than the sum of its proper divisors (51805831).

146787641 is a wasteful number, since it uses less digits than its factorization.

146787641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13373 (or 13362 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The square root of 146787641 is about 12115.5949503109. The cubic root of 146787641 is about 527.5089473861.

It can be divided in two parts, 146 and 787641, that added together give a palindrome (787787).

The spelling of 146787641 in words is "one hundred forty-six million, seven hundred eighty-seven thousand, six hundred forty-one".