145686541 has 48 divisors (see below), whose sum is σ = 200559744. Its totient is φ = 102960000.

The previous prime is 145686529. The next prime is 145686551.

145686541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145686541 - 2¹¹ = 145684493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145686494 and 145686503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145686521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1112046 + ... + 1112176.

It is an arithmetic number, because the mean of its divisors is an integer number (4178328).

Almost surely, 2^145686541 is an apocalyptic number.

145686541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145686541 is a deficient number, since it is larger than the sum of its proper divisors (54873203).

145686541 is a wasteful number, since it uses less digits than its factorization.

145686541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 145686541 is about 12070.0679782676. The cubic root of 145686541 is about 526.1866322934.

It can be divided in two parts, 145 and 686541, that added together give a palindrome (686686).

The spelling of 145686541 in words is "one hundred forty-five million, six hundred eighty-six thousand, five hundred forty-one".