127149316 has 72 divisors (see below), whose sum is σ = 270186840. Its totient is φ = 52157952.

The previous prime is 127149301. The next prime is 127149331. The reversal of 127149316 is 613941721.

It is an interprime number because it is at equal distance from previous prime (127149301) and next prime (127149331).

It can be written as a sum of positive squares in 4 ways, for example, as 62346816 + 64802500 = 7896^2 + 8050^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645330 + ... + 645526.

It is an arithmetic number, because the mean of its divisors is an integer number (3752595).

Almost surely, 2^127149316 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 127149316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135093420).

127149316 is an abundant number, since it is smaller than the sum of its proper divisors (143037524).

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

127149316 is a wasteful number, since it uses less digits than its factorization.

127149316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 127149316 is about 11276.0505497271. The cubic root of 127149316 is about 502.8494846919.

The spelling of 127149316 in words is "one hundred twenty-seven million, one hundred forty-nine thousand, three hundred sixteen".