127652000 has 192 divisors, whose sum is σ = 369847296. Its totient is φ = 42393600.

The previous prime is 127651999. The next prime is 127652009. The reversal of 127652000 is 256721.

It is not an unprimeable number, because it can be changed into a prime (127652009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315952 + ... + 1316048.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2^127652000 is an apocalyptic number.

127652000 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 127652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

127652000 is an abundant number, since it is smaller than the sum of its proper divisors (242195296).

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

127652000 is an equidigital number, since it uses as much as digits as its factorization.

127652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 127652000 is about 11298.3184589566. The cubic root of 127652000 is about 503.5112840473.

The spelling of 127652000 in words is "one hundred twenty-seven million, six hundred fifty-two thousand".