127152 has 30 divisors (see below), whose sum is σ = 356252. Its totient is φ = 42336.

The previous prime is 127139. The next prime is 127157. The reversal of 127152 is 251721.

It is a super-2 number, since 2×127152² = 32335262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (127157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 298 + ... + 585.

2¹²⁷¹⁵² is an apocalyptic number.

127152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127152 is an abundant number, since it is smaller than the sum of its proper divisors (229100).

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

127152 is a wasteful number, since it uses less digits than its factorization.

127152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 127152 is about 356.5837909945. The cubic root of 127152 is about 50.2853022890.

Adding to 127152 its reverse (251721), we get a palindrome (378873).

The spelling of 127152 in words is "one hundred twenty-seven thousand, one hundred fifty-two".