127944900 has 72 divisors (see below), whose sum is σ = 411327840. Its totient is φ = 34117920.

The previous prime is 127944899. The next prime is 127944923. The reversal of 127944900 is 9449721.

It is a super-3 number, since 3×127944900³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20994 + ... + 26393.

Almost surely, 2^127944900 is an apocalyptic number.

127944900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127944900 is an abundant number, since it is smaller than the sum of its proper divisors (283382940).

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

127944900 is a wasteful number, since it uses less digits than its factorization.

127944900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47410 (or 47397 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 127944900 is about 11311.2731378921. The cubic root of 127944900 is about 503.8960953605.

The spelling of 127944900 in words is "one hundred twenty-seven million, nine hundred forty-four thousand, nine hundred".