138611376 has 60 divisors (see below), whose sum is σ = 391522560. Its totient is φ = 45774720.

The previous prime is 138611311. The next prime is 138611393. The reversal of 138611376 is 673116831.

138611376 is a `hidden beast` number, since 1 + 3 + 8 + 611 + 37 + 6 = 666.

It is a super-2 number, since 2×138611376² = 38426227113226752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138611376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11281 + ... + 20111.

It is an arithmetic number, because the mean of its divisors is an integer number (6525376).

Almost surely, 2^138611376 is an apocalyptic number.

138611376 is a gapful number since it is divisible by the number (16) 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 138611376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195761280).

138611376 is an abundant number, since it is smaller than the sum of its proper divisors (252911184).

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

138611376 is a wasteful number, since it uses less digits than its factorization.

138611376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954 (or 8945 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 138611376 is about 11773.3332578331. Note that the first 3 decimals coincide. The cubic root of 138611376 is about 517.5269355160.

The spelling of 138611376 in words is "one hundred thirty-eight million, six hundred eleven thousand, three hundred seventy-six".