127868500 has 48 divisors (see below), whose sum is σ = 291432960. Its totient is φ = 48919200.

The previous prime is 127868497. The next prime is 127868513. The reversal of 127868500 is 5868721.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 127868500.

It is a congruent number.

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, 5941 + ... + 17059.

It is an arithmetic number, because the mean of its divisors is an integer number (6071520).

Almost surely, 2^127868500 is an apocalyptic number.

127868500 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 127868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145716480).

127868500 is an abundant number, since it is smaller than the sum of its proper divisors (163564460).

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

127868500 is a wasteful number, since it uses less digits than its factorization.

127868500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11161 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 127868500 is about 11307.8954717489. The cubic root of 127868500 is about 503.7957778880.

The spelling of 127868500 in words is "one hundred twenty-seven million, eight hundred sixty-eight thousand, five hundred".