8132137 has 16 divisors (see below), whose sum is σ = 9580032. Its totient is φ = 6831360.

The previous prime is 8132101. The next prime is 8132177. The reversal of 8132137 is 7312318.

8132137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 8132137 - 2¹⁹ = 7607849 is a prime.

It is a super-2 number, since 2×8132137² = 132263304373538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8132177) 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, 6258 + ... + 7444.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 2^8132137 is an apocalyptic number.

It is an amenable number.

8132137 is a deficient number, since it is larger than the sum of its proper divisors (1447895).

8132137 is a wasteful number, since it uses less digits than its factorization.

8132137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248.

The product of its digits is 1008, while the sum is 25.

The square root of 8132137 is about 2851.6902005653. The cubic root of 8132137 is about 201.0951341278.

The spelling of 8132137 in words is "eight million, one hundred thirty-two thousand, one hundred thirty-seven".