127145448 has 96 divisors (see below), whose sum is σ = 368339400. Its totient is φ = 39481344.

The previous prime is 127145423. The next prime is 127145467. The reversal of 127145448 is 844541721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 122810724 + 4334724 = 11082^2 + 2082^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 132940 + ... + 133892.

Almost surely, 2^127145448 is an apocalyptic number.

127145448 is a gapful number since it is divisible by the number (18) 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 127145448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184169700).

127145448 is an abundant number, since it is smaller than the sum of its proper divisors (241193952).

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

127145448 is a wasteful number, since it uses less digits than its factorization.

127145448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1084 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 127145448 is about 11275.8790344700. The cubic root of 127145448 is about 502.8443855911.

The spelling of 127145448 in words is "one hundred twenty-seven million, one hundred forty-five thousand, four hundred forty-eight".