127144020 has 96 divisors (see below), whose sum is σ = 389200896. Its totient is φ = 30873600.

The previous prime is 127144013. The next prime is 127144021. The reversal of 127144020 is 20441721.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127144021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29610 + ... + 33630.

It is an arithmetic number, because the mean of its divisors is an integer number (4054176).

Almost surely, 2^127144020 is an apocalyptic number.

127144020 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 127144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194600448).

127144020 is an abundant number, since it is smaller than the sum of its proper divisors (262056876).

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

127144020 is a wasteful number, since it uses less digits than its factorization.

127144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 127144020 is about 11275.8157132866. The cubic root of 127144020 is about 502.8425030634.

Adding to 127144020 its reverse (20441721), we get a palindrome (147585741).

The spelling of 127144020 in words is "one hundred twenty-seven million, one hundred forty-four thousand, twenty".