137264643 has 12 divisors (see below), whose sum is σ = 202882680. Its totient is φ = 89381376.

The previous prime is 137264639. The next prime is 137264651. The reversal of 137264643 is 346462731.

It is a happy number.

137264643 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 6 + 4 + 643 = 666.

It is not a de Polignac number, because 137264643 - 2² = 137264639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137264598 and 137264607.

It is not an unprimeable number, because it can be changed into a prime (137264663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176958 + ... + 177731.

It is an arithmetic number, because the mean of its divisors is an integer number (16906890).

Almost surely, 2^137264643 is an apocalyptic number.

137264643 is a deficient number, since it is larger than the sum of its proper divisors (65618037).

137264643 is a wasteful number, since it uses less digits than its factorization.

137264643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354738 (or 354735 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 137264643 is about 11715.9994452031. Note that the first 3 decimals coincide. The cubic root of 137264643 is about 515.8453994206.

The spelling of 137264643 in words is "one hundred thirty-seven million, two hundred sixty-four thousand, six hundred forty-three".