127813000 has 192 divisors, whose sum is σ = 371779200. Its totient is φ = 40176000.

The previous prime is 127812967. The next prime is 127813013. The reversal of 127813000 is 318721.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4122985 + ... + 4123015.

It is an arithmetic number, because the mean of its divisors is an integer number (1936350).

Almost surely, 2^127813000 is an apocalyptic number.

127813000 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 127813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185889600).

127813000 is an abundant number, since it is smaller than the sum of its proper divisors (243966200).

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

127813000 is a wasteful number, since it uses less digits than its factorization.

127813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 127813000 is about 11305.4411678625. The cubic root of 127813000 is about 503.7228782242.

The spelling of 127813000 in words is "one hundred twenty-seven million, eight hundred thirteen thousand".