138476628 has 120 divisors (see below), whose sum is σ = 396152064. Its totient is φ = 41990400.

The previous prime is 138476587. The next prime is 138476633. The reversal of 138476628 is 826674831.

138476628 is a `hidden beast` number, since 13 + 8 + 4 + 7 + 6 + 628 = 666.

Its product of digits (387072) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 170343 + ... + 171153.

Almost surely, 2^138476628 is an apocalyptic number.

138476628 is a gapful number since it is divisible by the number (18) 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 138476628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198076032).

138476628 is an abundant number, since it is smaller than the sum of its proper divisors (257675436).

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

138476628 is a wasteful number, since it uses less digits than its factorization.

138476628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 138476628 is about 11767.6092729152. The cubic root of 138476628 is about 517.3591803358.

The spelling of 138476628 in words is "one hundred thirty-eight million, four hundred seventy-six thousand, six hundred twenty-eight".