127938000 has 80 divisors (see below), whose sum is σ = 412491456. Its totient is φ = 34115200.

The previous prime is 127937993. The next prime is 127938007. The reversal of 127938000 is 839721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127937993) and next prime (127938007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127938007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4662 + ... + 16661.

Almost surely, 2^127938000 is an apocalyptic number.

127938000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127938000 is an abundant number, since it is smaller than the sum of its proper divisors (284553456).

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

127938000 is a wasteful number, since it uses less digits than its factorization.

127938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21349 (or 21333 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 127938000 is about 11310.9681283257. The cubic root of 127938000 is about 503.8870369154.

The spelling of 127938000 in words is "one hundred twenty-seven million, nine hundred thirty-eight thousand".