127713950 has 48 divisors (see below), whose sum is σ = 292377120. Its totient is φ = 40417920.

The previous prime is 127713947. The next prime is 127713961. The reversal of 127713950 is 59317721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 127713950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9485 + ... + 18584.

It is an arithmetic number, because the mean of its divisors is an integer number (6091190).

Almost surely, 2^127713950 is an apocalyptic number.

127713950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127713950 is an abundant number, since it is smaller than the sum of its proper divisors (164663170).

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

127713950 is a wasteful number, since it uses less digits than its factorization.

127713950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28101 (or 28096 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 127713950 is about 11301.0596848260. The cubic root of 127713950 is about 503.5927228535.

The spelling of 127713950 in words is "one hundred twenty-seven million, seven hundred thirteen thousand, nine hundred fifty".