138870180 has 96 divisors (see below), whose sum is σ = 434313600. Its totient is φ = 36837504.

The previous prime is 138870167. The next prime is 138870191. The reversal of 138870180 is 81078831.

138870180 = T₂₅ + T₂₆ + ... + T₉₄₀.

138870180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123099 + ... + 124221.

It is an arithmetic number, because the mean of its divisors is an integer number (4524100).

Almost surely, 2^138870180 is an apocalyptic number.

138870180 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 138870180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217156800).

138870180 is an abundant number, since it is smaller than the sum of its proper divisors (295443420).

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

138870180 is a wasteful number, since it uses less digits than its factorization.

138870180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 138870180 is about 11784.3192421115. The cubic root of 138870180 is about 517.8488301344.

The spelling of 138870180 in words is "one hundred thirty-eight million, eight hundred seventy thousand, one hundred eighty".