130772127200 has 144 divisors (see below), whose sum is σ = 375060275856. Its totient is φ = 43895500800.

The previous prime is 130772127163. The next prime is 130772127217. The reversal of 130772127200 is 2721277031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457157 + ... + 685956.

It is an arithmetic number, because the mean of its divisors is an integer number (2604585249).

Almost surely, 2^130772127200 is an apocalyptic number.

130772127200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130772127200 is an abundant number, since it is smaller than the sum of its proper divisors (244288148656).

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

130772127200 is a wasteful number, since it uses less digits than its factorization.

130772127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143157 (or 1143144 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The spelling of 130772127200 in words is "one hundred thirty billion, seven hundred seventy-two million, one hundred twenty-seven thousand, two hundred".