127540000 has 120 divisors (see below), whose sum is σ = 358985088. Its totient is φ = 43680000.

The previous prime is 127539961. The next prime is 127540003. The reversal of 127540000 is 45721.

It is a self number, because there is not a number n which added to its sum of digits gives 127540000.

It is not an unprimeable number, because it can be changed into a prime (127540003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139545 + ... + 140455.

Almost surely, 2^127540000 is an apocalyptic number.

127540000 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 127540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179492544).

127540000 is an abundant number, since it is smaller than the sum of its proper divisors (231445088).

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

127540000 is an frugal number, since it uses more digits than its factorization.

127540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 127540000 is about 11293.3608815091. The cubic root of 127540000 is about 503.3639831440.

Adding to 127540000 its reverse (45721), we get a palindrome (127585721).

The spelling of 127540000 in words is "one hundred twenty-seven million, five hundred forty thousand".