137668000368 has 40 divisors (see below), whose sum is σ = 355659017616. Its totient is φ = 45887180800.

The previous prime is 137668000367. The next prime is 137668000369. The reversal of 137668000368 is 863000866731.

It is an interprime number because it is at equal distance from previous prime (137668000367) and next prime (137668000369).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137668000367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1220938 + ... + 1328918.

Almost surely, 2^137668000368 is an apocalyptic number.

It is an amenable number.

137668000368 is an abundant number, since it is smaller than the sum of its proper divisors (217991017248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137668000368 is a wasteful number, since it uses less digits than its factorization.

137668000368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134553 (or 134547 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 137668000368 in words is "one hundred thirty-seven billion, six hundred sixty-eight million, three hundred sixty-eight", and thus it is an aban number.