130726171200 has 336 divisors, whose sum is σ = 462488523840. Its totient is φ = 32219136000.

The previous prime is 130726171151. The next prime is 130726171201. The reversal of 130726171200 is 2171627031.

It is a super-4 number, since 4×130726171200⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (130726171201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3721720 + ... + 3756680.

It is an arithmetic number, because the mean of its divisors is an integer number (1376453940).

Almost surely, 2^130726171200 is an apocalyptic number.

130726171200 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 130726171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231244261920).

130726171200 is an abundant number, since it is smaller than the sum of its proper divisors (331762352640).

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

130726171200 is a wasteful number, since it uses less digits than its factorization.

130726171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35046 (or 35031 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

Adding to 130726171200 its reverse (2171627031), we get a palindrome (132897798231).

The spelling of 130726171200 in words is "one hundred thirty billion, seven hundred twenty-six million, one hundred seventy-one thousand, two hundred".