127153632 has 48 divisors (see below), whose sum is σ = 345295440. Its totient is φ = 40922112.

The previous prime is 127153553. The next prime is 127153651. The reversal of 127153632 is 236351721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×127153632² = 32336092261582848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127153632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20053 + ... + 25620.

It is an arithmetic number, because the mean of its divisors is an integer number (7193655).

Almost surely, 2^127153632 is an apocalyptic number.

127153632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127153632 is an abundant number, since it is smaller than the sum of its proper divisors (218141808).

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

127153632 is a wasteful number, since it uses less digits than its factorization.

127153632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45715 (or 45707 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 127153632 is about 11276.2419271670. The cubic root of 127153632 is about 502.8551742593.

The spelling of 127153632 in words is "one hundred twenty-seven million, one hundred fifty-three thousand, six hundred thirty-two".