138197070 has 256 divisors, whose sum is σ = 442368000. Its totient is φ = 30326400.

The previous prime is 138197069. The next prime is 138197083. The reversal of 138197070 is 70791831.

It is a Curzon number.

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 127 ways as a sum of consecutive naturals, for example, 1749291 + ... + 1749369.

It is an arithmetic number, because the mean of its divisors is an integer number (1728000).

Almost surely, 2^138197070 is an apocalyptic number.

138197070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138197070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221184000).

138197070 is an abundant number, since it is smaller than the sum of its proper divisors (304170930).

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

138197070 is a wasteful number, since it uses less digits than its factorization.

138197070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 138197070 is about 11755.7249882770. The cubic root of 138197070 is about 517.0107958293.

The spelling of 138197070 in words is "one hundred thirty-eight million, one hundred ninety-seven thousand, seventy".