130137700 has 72 divisors (see below), whose sum is σ = 352102464. Its totient is φ = 40560000.

The previous prime is 130137691. The next prime is 130137701. The reversal of 130137700 is 7731031.

It is a super-2 number, since 2×130137700² = 33871641922580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (130137701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751 + ... + 16150.

It is an arithmetic number, because the mean of its divisors is an integer number (4890312).

Almost surely, 2^130137700 is an apocalyptic number.

130137700 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 130137700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176051232).

130137700 is an abundant number, since it is smaller than the sum of its proper divisors (221964764).

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

130137700 is a wasteful number, since it uses less digits than its factorization.

130137700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16933 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 22.

The square root of 130137700 is about 11407.7911972476. The cubic root of 130137700 is about 506.7585003978.

Adding to 130137700 its reverse (7731031), we get a palindrome (137868731).

It can be divided in two parts, 13013 and 7700, that multiplied together give a square (100200100 = 10010²).

The spelling of 130137700 in words is "one hundred thirty million, one hundred thirty-seven thousand, seven hundred".