127553136 has 80 divisors (see below), whose sum is σ = 348965760. Its totient is φ = 40078080.

The previous prime is 127553117. The next prime is 127553141. The reversal of 127553136 is 631355721.

It is a junction number, because it is equal to n+sod(n) for n = 127553097 and 127553106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58791 + ... + 60921.

It is an arithmetic number, because the mean of its divisors is an integer number (4362072).

Almost surely, 2^127553136 is an apocalyptic number.

127553136 is a gapful number since it is divisible by the number (16) 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 127553136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174482880).

127553136 is an abundant number, since it is smaller than the sum of its proper divisors (221412624).

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

127553136 is a wasteful number, since it uses less digits than its factorization.

127553136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2208 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 127553136 is about 11293.9424471705. The cubic root of 127553136 is about 503.3812638985.

The spelling of 127553136 in words is "one hundred twenty-seven million, five hundred fifty-three thousand, one hundred thirty-six".