127749440 has 224 divisors, whose sum is σ = 387120384. Its totient is φ = 39075840.

The previous prime is 127749421. The next prime is 127749449. The reversal of 127749440 is 44947721.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 127749394 and 127749403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127749449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193867 + ... + 1193973.

It is an arithmetic number, because the mean of its divisors is an integer number (1728216).

Almost surely, 2^127749440 is an apocalyptic number.

127749440 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 127749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193560192).

127749440 is an abundant number, since it is smaller than the sum of its proper divisors (259370944).

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

127749440 is a wasteful number, since it uses less digits than its factorization.

127749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 127749440 is about 11302.6297824887. The cubic root of 127749440 is about 503.6393657626.

The spelling of 127749440 in words is "one hundred twenty-seven million, seven hundred forty-nine thousand, four hundred forty".