127754406252 has 120 divisors (see below), whose sum is σ = 364472095680. Its totient is φ = 38699065440.

The previous prime is 127754406239. The next prime is 127754406253. The reversal of 127754406252 is 252604457721.

127754406252 is a `hidden beast` number, since 12 + 7 + 7 + 5 + 4 + 4 + 0 + 625 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 127754406198 and 127754406207.

It is not an unprimeable number, because it can be changed into a prime (127754406253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13321003 + ... + 13330589.

It is an arithmetic number, because the mean of its divisors is an integer number (3037267464).

Almost surely, 2^127754406252 is an apocalyptic number.

127754406252 is a gapful number since it is divisible by the number (12) 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 127754406252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182236047840).

127754406252 is an abundant number, since it is smaller than the sum of its proper divisors (236717689428).

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

127754406252 is a wasteful number, since it uses less digits than its factorization.

127754406252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13353 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 127754406252 in words is "one hundred twenty-seven billion, seven hundred fifty-four million, four hundred six thousand, two hundred fifty-two".