138156876 has 144 divisors (see below), whose sum is σ = 419747328. Its totient is φ = 37756800.

The previous prime is 138156871. The next prime is 138156901. The reversal of 138156876 is 678651831.

138156876 is a `hidden beast` number, since 1 + 3 + 81 + 568 + 7 + 6 = 666.

138156876 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

138156876 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (138156871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241671 + ... + 242241.

It is an arithmetic number, because the mean of its divisors is an integer number (2914912).

Almost surely, 2^138156876 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 138156876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209873664).

138156876 is an abundant number, since it is smaller than the sum of its proper divisors (281590452).

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

138156876 is a wasteful number, since it uses less digits than its factorization.

138156876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 647 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 138156876 is about 11754.0153139257. The cubic root of 138156876 is about 516.9606675429.

The spelling of 138156876 in words is "one hundred thirty-eight million, one hundred fifty-six thousand, eight hundred seventy-six".