137824841 has 16 divisors (see below), whose sum is σ = 180879360. Its totient is φ = 101742480.

The previous prime is 137824811. The next prime is 137824861. The reversal of 137824841 is 148428731.

It is not a de Polignac number, because 137824841 - 2¹⁴ = 137808457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137824795 and 137824804.

It is not an unprimeable number, because it can be changed into a prime (137824801) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45641 + ... + 48566.

It is an arithmetic number, because the mean of its divisors is an integer number (11304960).

Almost surely, 2^137824841 is an apocalyptic number.

137824841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137824841 is a deficient number, since it is larger than the sum of its proper divisors (43054519).

137824841 is a wasteful number, since it uses less digits than its factorization.

137824841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94244.

The product of its digits is 43008, while the sum is 38.

The square root of 137824841 is about 11739.8824951530. The cubic root of 137824841 is about 516.5461949201.

The spelling of 137824841 in words is "one hundred thirty-seven million, eight hundred twenty-four thousand, eight hundred forty-one".