138626376 has 64 divisors (see below), whose sum is σ = 403574400. Its totient is φ = 38857728.

The previous prime is 138626363. The next prime is 138626377. The reversal of 138626376 is 673626831.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138626377) 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, 1120 + ... + 16688.

It is an arithmetic number, because the mean of its divisors is an integer number (6305850).

Almost surely, 2^138626376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138626376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201787200).

138626376 is an abundant number, since it is smaller than the sum of its proper divisors (264948024).

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

138626376 is a wasteful number, since it uses less digits than its factorization.

138626376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15638 (or 15634 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 138626376 is about 11773.9702734464. The cubic root of 138626376 is about 517.5456031133.

The spelling of 138626376 in words is "one hundred thirty-eight million, six hundred twenty-six thousand, three hundred seventy-six".