127545264 has 120 divisors (see below), whose sum is σ = 445066752. Its totient is φ = 33125760.

The previous prime is 127545259. The next prime is 127545283. The reversal of 127545264 is 462545721.

It is a happy number.

127545264 is a `hidden beast` number, since 127 + 5 + 4 + 526 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5337 + ... + 16839.

Almost surely, 2^127545264 is an apocalyptic number.

127545264 is a gapful number since it is divisible by the number (14) 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 127545264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222533376).

127545264 is an abundant number, since it is smaller than the sum of its proper divisors (317521488).

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

127545264 is a wasteful number, since it uses less digits than its factorization.

127545264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11535 (or 11526 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 127545264 is about 11293.5939363871. The cubic root of 127545264 is about 503.3709082173.

The spelling of 127545264 in words is "one hundred twenty-seven million, five hundred forty-five thousand, two hundred sixty-four".