127340400 has 180 divisors, whose sum is σ = 448879256. Its totient is φ = 30835200.

The previous prime is 127340333. The next prime is 127340431. The reversal of 127340400 is 4043721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144762 + ... + 145638.

Almost surely, 2^127340400 is an apocalyptic number.

127340400 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 127340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224439628).

127340400 is an abundant number, since it is smaller than the sum of its proper divisors (321538856).

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

127340400 is a wasteful number, since it uses less digits than its factorization.

127340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 127340400 is about 11284.5203708443. The cubic root of 127340400 is about 503.1012579617.

The spelling of 127340400 in words is "one hundred twenty-seven million, three hundred forty thousand, four hundred".