137382131 has 8 divisors (see below), whose sum is σ = 139467504. Its totient is φ = 135302400.

The previous prime is 137382127. The next prime is 137382137. The reversal of 137382131 is 131283731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137382131 - 2² = 137382127 is a prime.

It is a super-2 number, since 2×137382131² = 37747699836202322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137382094 and 137382103.

It is not an unprimeable number, because it can be changed into a prime (137382137) 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 7 ways as a sum of consecutive naturals, for example, 93956 + ... + 95406.

It is an arithmetic number, because the mean of its divisors is an integer number (17433438).

Almost surely, 2^137382131 is an apocalyptic number.

137382131 is a deficient number, since it is larger than the sum of its proper divisors (2085373).

137382131 is a wasteful number, since it uses less digits than its factorization.

137382131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821.

The product of its digits is 3024, while the sum is 29.

The square root of 137382131 is about 11721.0123709516. The cubic root of 137382131 is about 515.9925321416.

The spelling of 137382131 in words is "one hundred thirty-seven million, three hundred eighty-two thousand, one hundred thirty-one".