127713600 has 378 divisors, whose sum is σ = 530951694. Its totient is φ = 29030400.

The previous prime is 127713587. The next prime is 127713629. The reversal of 127713600 is 6317721.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 126697536 = 1008^2 + 11256^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705510 + ... + 705690.

Almost surely, 2^127713600 is an apocalyptic number.

127713600 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 127713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265475847).

127713600 is an abundant number, since it is smaller than the sum of its proper divisors (403238094).

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

127713600 is a wasteful number, since it uses less digits than its factorization.

127713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 127713600 is about 11301.0441995419. The cubic root of 127713600 is about 503.5922628212.

The spelling of 127713600 in words is "one hundred twenty-seven million, seven hundred thirteen thousand, six hundred".