127153152000 has 1344 divisors, whose sum is σ = 550733025024. Its totient is φ = 28665446400.

The previous prime is 127153151987. The next prime is 127153152001. The reversal of 127153152000 is 251351721.

127153152000 is a `hidden beast` number, since 12 + 71 + 531 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (127153152001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1741823964 + ... + 1741824036.

It is an arithmetic number, because the mean of its divisors is an integer number (409771596).

Almost surely, 2^127153152000 is an apocalyptic number.

127153152000 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 127153152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275366512512).

127153152000 is an abundant number, since it is smaller than the sum of its proper divisors (423579873024).

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

127153152000 is an frugal number, since it uses more digits than its factorization.

127153152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 127153152000 in words is "one hundred twenty-seven billion, one hundred fifty-three million, one hundred fifty-two thousand".