127313952 has 96 divisors (see below), whose sum is σ = 356638464. Its totient is φ = 39628800.

The previous prime is 127313941. The next prime is 127313957. The reversal of 127313952 is 259313721.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (127313957) 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, 295177 + ... + 295607.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2^127313952 is an apocalyptic number.

127313952 is a gapful number since it is divisible by the number (12) 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 127313952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

127313952 is an abundant number, since it is smaller than the sum of its proper divisors (229324512).

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

127313952 is a wasteful number, since it uses less digits than its factorization.

127313952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 127313952 is about 11283.3484391824. The cubic root of 127313952 is about 503.0664249646.

It can be divided in two parts, 1273 and 13952, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 127313952 in words is "one hundred twenty-seven million, three hundred thirteen thousand, nine hundred fifty-two".