127321318152 has 576 divisors, whose sum is σ = 444069216000. Its totient is φ = 33682086144.

The previous prime is 127321318147. The next prime is 127321318153. The reversal of 127321318152 is 251813123721.

127321318152 is a `hidden beast` number, since 1 + 2 + 7 + 321 + 318 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127321318153) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179578374 + ... + 179579082.

It is an arithmetic number, because the mean of its divisors is an integer number (770953500).

Almost surely, 2^127321318152 is an apocalyptic number.

127321318152 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 127321318152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222034608000).

127321318152 is an abundant number, since it is smaller than the sum of its proper divisors (316747897848).

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

127321318152 is a wasteful number, since it uses less digits than its factorization.

127321318152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 787 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 127321318152 in words is "one hundred twenty-seven billion, three hundred twenty-one million, three hundred eighteen thousand, one hundred fifty-two".