127546016 has 48 divisors (see below), whose sum is σ = 271701864. Its totient is φ = 58589184.

The previous prime is 127546009. The next prime is 127546043. The reversal of 127546016 is 610645721.

It can be written as a sum of positive squares in 4 ways, for example, as 119683600 + 7862416 = 10940^2 + 2804^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106316 + ... + 107508.

Almost surely, 2^127546016 is an apocalyptic number.

127546016 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 127546016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135850932).

127546016 is an abundant number, since it is smaller than the sum of its proper divisors (144155848).

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

127546016 is a wasteful number, since it uses less digits than its factorization.

127546016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 127546016 is about 11293.6272295485. The cubic root of 127546016 is about 503.3718974979.

The spelling of 127546016 in words is "one hundred twenty-seven million, five hundred forty-six thousand, sixteen".