127215089713152 has 2048 divisors, whose sum is σ = 467795331072000. Its totient is φ = 33389511966720.

The previous prime is 127215089713109. The next prime is 127215089713169. The reversal of 127215089713152 is 251317980512721.

127215089713152 is a `hidden beast` number, since 1 + 2 + 7 + 21 + 508 + 97 + 13 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 406437986148 + ... + 406437986460.

It is an arithmetic number, because the mean of its divisors is an integer number (228415689000).

Almost surely, 2^{127215089713152} is an apocalyptic number.

127215089713152 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 127215089713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233897665536000).

127215089713152 is an abundant number, since it is smaller than the sum of its proper divisors (340580241358848).

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

127215089713152 is an equidigital number, since it uses as much as digits as its factorization.

127215089713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 127215089713152 in words is "one hundred twenty-seven trillion, two hundred fifteen billion, eighty-nine million, seven hundred thirteen thousand, one hundred fifty-two".