138951680 has 88 divisors (see below), whose sum is σ = 381036768. Its totient is φ = 47628288.

The previous prime is 138951679. The next prime is 138951689. The reversal of 138951680 is 86159831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138951689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33902 + ... + 37778.

Almost surely, 2^138951680 is an apocalyptic number.

138951680 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 138951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190518384).

138951680 is an abundant number, since it is smaller than the sum of its proper divisors (242085088).

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

138951680 is an equidigital number, since it uses as much as digits as its factorization.

138951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 138951680 is about 11787.7767199757. The cubic root of 138951680 is about 517.9501152003.

The spelling of 138951680 in words is "one hundred thirty-eight million, nine hundred fifty-one thousand, six hundred eighty".