138196152 has 64 divisors (see below), whose sum is σ = 392832000. Its totient is φ = 44991072.

The previous prime is 138196103. The next prime is 138196169. The reversal of 138196152 is 251691831.

138196152 is a `hidden beast` number, since 1 + 38 + 1 + 9 + 615 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1849 + ... + 16727.

It is an arithmetic number, because the mean of its divisors is an integer number (6138000).

Almost surely, 2^138196152 is an apocalyptic number.

138196152 is a gapful number since it is divisible by the number (12) 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 138196152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416000).

138196152 is an abundant number, since it is smaller than the sum of its proper divisors (254635848).

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

138196152 is a wasteful number, since it uses less digits than its factorization.

138196152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14937 (or 14927 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 138196152 is about 11755.6859434063. The cubic root of 138196152 is about 517.0096510463.

The spelling of 138196152 in words is "one hundred thirty-eight million, one hundred ninety-six thousand, one hundred fifty-two".