137827041 has 16 divisors (see below), whose sum is σ = 212269248. Its totient is φ = 78617600.

The previous prime is 137827033. The next prime is 137827049. The reversal of 137827041 is 140728731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137827033) and next prime (137827049).

It is a cyclic number.

It is not a de Polignac number, because 137827041 - 2³ = 137827033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 137826993 and 137827011.

It is not an unprimeable number, because it can be changed into a prime (137827049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122280 + ... + 123401.

It is an arithmetic number, because the mean of its divisors is an integer number (13266828).

Almost surely, 2^137827041 is an apocalyptic number.

137827041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137827041 is a deficient number, since it is larger than the sum of its proper divisors (74442207).

137827041 is a wasteful number, since it uses less digits than its factorization.

137827041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245712.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 137827041 is about 11739.9761924801. The cubic root of 137827041 is about 516.5489433254.

The spelling of 137827041 in words is "one hundred thirty-seven million, eight hundred twenty-seven thousand, forty-one".