127681139200 has 120 divisors (see below), whose sum is σ = 324890932212. Its totient is φ = 49691934720.

The previous prime is 127681139177. The next prime is 127681139203. The reversal of 127681139200 is 2931186721.

It can be written as a sum of positive squares in 6 ways, for example, as 66597028096 + 61084111104 = 258064^2 + 247152^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (127681139203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338802 + ... + 608398.

Almost surely, 2^127681139200 is an apocalyptic number.

127681139200 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 127681139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162445466106).

127681139200 is an abundant number, since it is smaller than the sum of its proper divisors (197209793012).

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

127681139200 is an equidigital number, since it uses as much as digits as its factorization.

127681139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269662 (or 269641 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 127681139200 in words is "one hundred twenty-seven billion, six hundred eighty-one million, one hundred thirty-nine thousand, two hundred".