137212563 has 8 divisors (see below), whose sum is σ = 183013776. Its totient is φ = 91443200.

The previous prime is 137212553. The next prime is 137212573. The reversal of 137212563 is 365212731.

It is an interprime number because it is at equal distance from previous prime (137212553) and next prime (137212573).

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 137212563 - 2⁵ = 137212531 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137212563.

It is not an unprimeable number, because it can be changed into a prime (137212553) 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 7 ways as a sum of consecutive naturals, for example, 5203 + ... + 17363.

It is an arithmetic number, because the mean of its divisors is an integer number (22876722).

Almost surely, 2^137212563 is an apocalyptic number.

137212563 is a deficient number, since it is larger than the sum of its proper divisors (45801213).

137212563 is a wasteful number, since it uses less digits than its factorization.

137212563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15925.

The product of its digits is 7560, while the sum is 30.

The square root of 137212563 is about 11713.7766326663. The cubic root of 137212563 is about 515.7801516719.

The spelling of 137212563 in words is "one hundred thirty-seven million, two hundred twelve thousand, five hundred sixty-three".