138180360 has 128 divisors (see below), whose sum is σ = 436752000. Its totient is φ = 34922496.

The previous prime is 138180349. The next prime is 138180377. The reversal of 138180360 is 63081831.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 204984 + ... + 205656.

It is an arithmetic number, because the mean of its divisors is an integer number (3412125).

Almost surely, 2^138180360 is an apocalyptic number.

138180360 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 138180360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218376000).

138180360 is an abundant number, since it is smaller than the sum of its proper divisors (298571640).

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

138180360 is a wasteful number, since it uses less digits than its factorization.

138180360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 138180360 is about 11755.0142492470. The cubic root of 138180360 is about 516.9899569923.

The spelling of 138180360 in words is "one hundred thirty-eight million, one hundred eighty thousand, three hundred sixty".