127440000 has 320 divisors, whose sum is σ = 477972000. Its totient is φ = 33408000.

The previous prime is 127439999. The next prime is 127440017. The reversal of 127440000 is 44721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159971 + ... + 2160029.

Almost surely, 2^127440000 is an apocalyptic number.

127440000 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 127440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238986000).

127440000 is an abundant number, since it is smaller than the sum of its proper divisors (350532000).

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

127440000 is an frugal number, since it uses more digits than its factorization.

127440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 127440000 is about 11288.9326333361. The cubic root of 127440000 is about 503.2323915916.

Adding to 127440000 its reverse (44721), we get a palindrome (127484721).

The spelling of 127440000 in words is "one hundred twenty-seven million, four hundred forty thousand".