130138000 has 80 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 50352000.

The previous prime is 130137989. The next prime is 130138007. The reversal of 130138000 is 831031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (130138007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60951 + ... + 63049.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^130138000 is an apocalyptic number.

130138000 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 130138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

130138000 is an abundant number, since it is smaller than the sum of its proper divisors (194841200).

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

130138000 is a wasteful number, since it uses less digits than its factorization.

130138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 130138000 is about 11407.8043461483. The cubic root of 130138000 is about 506.7588897992.

Adding to 130138000 its reverse (831031), we get a palindrome (130969031).

The spelling of 130138000 in words is "one hundred thirty million, one hundred thirty-eight thousand".