127152520 has 128 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 42803200.

The previous prime is 127152499. The next prime is 127152563. The reversal of 127152520 is 25251721.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 665625 + ... + 665815.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2^127152520 is an apocalyptic number.

127152520 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 127152520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

127152520 is an abundant number, since it is smaller than the sum of its proper divisors (208770680).

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

127152520 is a wasteful number, since it uses less digits than its factorization.

127152520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 127152520 is about 11276.1926198518. The cubic root of 127152520 is about 502.8537083775.

The spelling of 127152520 in words is "one hundred twenty-seven million, one hundred fifty-two thousand, five hundred twenty".