138436480 has 128 divisors (see below), whose sum is σ = 407494080. Its totient is φ = 43794432.

The previous prime is 138436469. The next prime is 138436481. The reversal of 138436480 is 84634831.

138436480 is a nontrivial binomial coefficient, being equal to C(16640, 2).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138436481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57052 + ... + 59428.

Almost surely, 2^138436480 is an apocalyptic number.

138436480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138436480 is the 16639-th triangular number and also the 8320-th hexagonal number.

138436480 is the 5547-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203747040).

138436480 is an abundant number, since it is smaller than the sum of its proper divisors (269057600).

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

138436480 is a wasteful number, since it uses less digits than its factorization.

138436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 138436480 is about 11765.9032802416. The cubic root of 138436480 is about 517.3091768459.

The spelling of 138436480 in words is "one hundred thirty-eight million, four hundred thirty-six thousand, four hundred eighty".