127136000 has 144 divisors (see below), whose sum is σ = 330024240. Its totient is φ = 48742400.

The previous prime is 127135999. The next prime is 127136021. The reversal of 127136000 is 631721.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34668544 + 92467456 = 5888^2 + 9616^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927932 + ... + 928068.

It is an arithmetic number, because the mean of its divisors is an integer number (2291835).

Almost surely, 2^127136000 is an apocalyptic number.

127136000 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 127136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165012120).

127136000 is an abundant number, since it is smaller than the sum of its proper divisors (202888240).

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

127136000 is an equidigital number, since it uses as much as digits as its factorization.

127136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 127136000 is about 11275.4600793050. The cubic root of 127136000 is about 502.8319300621.

Adding to 127136000 its reverse (631721), we get a palindrome (127767721).

The spelling of 127136000 in words is "one hundred twenty-seven million, one hundred thirty-six thousand".