127933050 has 144 divisors (see below), whose sum is σ = 376850880. Its totient is φ = 28131840.

The previous prime is 127933049. The next prime is 127933051. The reversal of 127933050 is 50339721.

It is an interprime number because it is at equal distance from previous prime (127933049) and next prime (127933051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 127932999 and 127933017.

It is not an unprimeable number, because it can be changed into a prime (127933051) 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 71 ways as a sum of consecutive naturals, for example, 1437406 + ... + 1437494.

It is an arithmetic number, because the mean of its divisors is an integer number (2617020).

Almost surely, 2^127933050 is an apocalyptic number.

127933050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127933050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188425440).

127933050 is an abundant number, since it is smaller than the sum of its proper divisors (248917830).

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

127933050 is a wasteful number, since it uses less digits than its factorization.

127933050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 127933050 is about 11310.7493120483. The cubic root of 127933050 is about 503.8805382650.

The spelling of 127933050 in words is "one hundred twenty-seven million, nine hundred thirty-three thousand, fifty".