127132152600 has 192 divisors, whose sum is σ = 397077085440. Its totient is φ = 33647680000.

The previous prime is 127132152577. The next prime is 127132152607. The reversal of 127132152600 is 6251231721.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127132152607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47738869 + ... + 47741531.

It is an arithmetic number, because the mean of its divisors is an integer number (2068109820).

Almost surely, 2^127132152600 is an apocalyptic number.

127132152600 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 127132152600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198538542720).

127132152600 is an abundant number, since it is smaller than the sum of its proper divisors (269944932840).

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

127132152600 is a wasteful number, since it uses less digits than its factorization.

127132152600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 127132152600 in words is "one hundred twenty-seven billion, one hundred thirty-two million, one hundred fifty-two thousand, six hundred".