127149648 has 80 divisors (see below), whose sum is σ = 336722496. Its totient is φ = 41333760.

The previous prime is 127149643. The next prime is 127149683. The reversal of 127149648 is 846941721.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127149641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458886 + ... + 459162.

Almost surely, 2^127149648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127149648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168361248).

127149648 is an abundant number, since it is smaller than the sum of its proper divisors (209572848).

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

127149648 is a wasteful number, since it uses less digits than its factorization.

127149648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 127149648 is about 11276.0652711839. The cubic root of 127149648 is about 502.8499223555.

The spelling of 127149648 in words is "one hundred twenty-seven million, one hundred forty-nine thousand, six hundred forty-eight".