138248370 has 160 divisors (see below), whose sum is σ = 422009280. Its totient is φ = 32192640.

The previous prime is 138248353. The next prime is 138248393. The reversal of 138248370 is 73842831.

It is a super-2 number, since 2×138248370² = 38225223615313800, which contains 22 as substring.

It is a Curzon 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 79 ways as a sum of consecutive naturals, for example, 199725 + ... + 200415.

It is an arithmetic number, because the mean of its divisors is an integer number (2637558).

Almost surely, 2^138248370 is an apocalyptic number.

138248370 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 138248370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211004640).

138248370 is an abundant number, since it is smaller than the sum of its proper divisors (283760910).

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

138248370 is a wasteful number, since it uses less digits than its factorization.

138248370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 138248370 is about 11757.9067014499. The cubic root of 138248370 is about 517.0747609401.

It can be divided in two parts, 138 and 248370, that multiplied together give a triangular number (34275060 = T₈₂₇₉).

The spelling of 138248370 in words is "one hundred thirty-eight million, two hundred forty-eight thousand, three hundred seventy".