138968000 has 112 divisors (see below), whose sum is σ = 356616000. Its totient is φ = 53580800.

The previous prime is 138967993. The next prime is 138968003. The reversal of 138968000 is 869831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138968003) 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, 231701 + ... + 232299.

Almost surely, 2^138968000 is an apocalyptic number.

138968000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178308000).

138968000 is an abundant number, since it is smaller than the sum of its proper divisors (217648000).

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

138968000 is an equidigital number, since it uses as much as digits as its factorization.

138968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 138968000 is about 11788.4689421485. The cubic root of 138968000 is about 517.9703923090.

The spelling of 138968000 in words is "one hundred thirty-eight million, nine hundred sixty-eight thousand".