138087180 has 384 divisors, whose sum is σ = 555448320. Its totient is φ = 27993600.

The previous prime is 138087161. The next prime is 138087251. The reversal of 138087180 is 81780831.

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 (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3367960 + ... + 3368000.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 2^138087180 is an apocalyptic number.

138087180 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 138087180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277724160).

138087180 is an abundant number, since it is smaller than the sum of its proper divisors (417361140).

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

138087180 is a wasteful number, since it uses less digits than its factorization.

138087180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

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

The square root of 138087180 is about 11751.0501658362. The cubic root of 138087180 is about 516.8737225372.

The spelling of 138087180 in words is "one hundred thirty-eight million, eighty-seven thousand, one hundred eighty".