130954627800 has 720 divisors, whose sum is σ = 490425095160. Its totient is φ = 32374702080.

The previous prime is 130954627781. The next prime is 130954627849. The reversal of 130954627800 is 8726459031.

130954627800 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 546 + 27 + 80 + 0 = 666.

It is a super-2 number, since 2×130954627800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 388589232 + ... + 388589568.

It is a 1-persistent number, because it is pandigital, but 2⋅130954627800 = 261909255600 is not.

Almost surely, 2^130954627800 is an apocalyptic number.

130954627800 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 130954627800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245212547580).

130954627800 is an abundant number, since it is smaller than the sum of its proper divisors (359470467360).

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

130954627800 is a wasteful number, since it uses less digits than its factorization.

130954627800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 130954627800 in words is "one hundred thirty billion, nine hundred fifty-four million, six hundred twenty-seven thousand, eight hundred".