138249384 has 96 divisors (see below), whose sum is σ = 433026720. Its totient is φ = 36457344.

The previous prime is 138249383. The next prime is 138249401. The reversal of 138249384 is 483942831.

It is a super-2 number, since 2×138249384² = 38225784352758912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (138249383) 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 23 ways as a sum of consecutive naturals, for example, 10767 + ... + 19809.

It is an arithmetic number, because the mean of its divisors is an integer number (4510695).

Almost surely, 2^138249384 is an apocalyptic number.

138249384 is a gapful number since it is divisible by the number (14) 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 138249384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216513360).

138249384 is an abundant number, since it is smaller than the sum of its proper divisors (294777336).

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

138249384 is a wasteful number, since it uses less digits than its factorization.

138249384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9079 (or 9068 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 138249384 is about 11757.9498212911. The cubic root of 138249384 is about 517.0760251202.

The spelling of 138249384 in words is "one hundred thirty-eight million, two hundred forty-nine thousand, three hundred eighty-four".