138914280 has 96 divisors (see below), whose sum is σ = 463717800. Its totient is φ = 36039168.

The previous prime is 138914267. The next prime is 138914291. The reversal of 138914280 is 82419831.

It can be written as a sum of positive squares in 4 ways, for example, as 137311524 + 1602756 = 11718^2 + 1266^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8106 + ... + 18534.

Almost surely, 2^138914280 is an apocalyptic number.

138914280 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 138914280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231858900).

138914280 is an abundant number, since it is smaller than the sum of its proper divisors (324803520).

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

138914280 is a wasteful number, since it uses less digits than its factorization.

138914280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 138914280 is about 11786.1902241564. The cubic root of 138914280 is about 517.9036408370.

The spelling of 138914280 in words is "one hundred thirty-eight million, nine hundred fourteen thousand, two hundred eighty".