138352000 has 64 divisors (see below), whose sum is σ = 344017440. Its totient is φ = 55334400.

The previous prime is 138351971. The next prime is 138352007. The reversal of 138352000 is 253831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138352007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11677 + ... + 20323.

Almost surely, 2^138352000 is an apocalyptic number.

138352000 is a gapful number since it is divisible by the number (10) 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 138352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172008720).

138352000 is an abundant number, since it is smaller than the sum of its proper divisors (205665440).

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

138352000 is an frugal number, since it uses more digits than its factorization.

138352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 138352000 is about 11762.3126977648. The cubic root of 138352000 is about 517.2039271989.

The spelling of 138352000 in words is "one hundred thirty-eight million, three hundred fifty-two thousand".