127205205140 has 48 divisors (see below), whose sum is σ = 290225366928. Its totient is φ = 46552418304.

The previous prime is 127205205137. The next prime is 127205205233. The reversal of 127205205140 is 41502502721.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28299987076 + 98905218064 = 168226^2 + 314492^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2135447 + ... + 2194206.

It is an arithmetic number, because the mean of its divisors is an integer number (6046361811).

Almost surely, 2^127205205140 is an apocalyptic number.

127205205140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127205205140 is an abundant number, since it is smaller than the sum of its proper divisors (163020161788).

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

127205205140 is a wasteful number, since it uses less digits than its factorization.

127205205140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329788 (or 4329786 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

Adding to 127205205140 its reverse (41502502721), we get a palindrome (168707707861).

The spelling of 127205205140 in words is "one hundred twenty-seven billion, two hundred five million, two hundred five thousand, one hundred forty".