127533042 has 160 divisors (see below), whose sum is σ = 362001024. Its totient is φ = 32659200.

The previous prime is 127533041. The next prime is 127533047. The reversal of 127533042 is 240335721.

127533042 is a `hidden beast` number, since 127 + 533 + 0 + 4 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 127532997 and 127533015.

It is not an unprimeable number, because it can be changed into a prime (127533041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 604317 + ... + 604527.

Almost surely, 2^127533042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127533042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181000512).

127533042 is an abundant number, since it is smaller than the sum of its proper divisors (234467982).

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

127533042 is a wasteful number, since it uses less digits than its factorization.

127533042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 127533042 is about 11293.0528202077. The cubic root of 127533042 is about 503.3548292307.

Adding to 127533042 its reverse (240335721), we get a palindrome (367868763).

The spelling of 127533042 in words is "one hundred twenty-seven million, five hundred thirty-three thousand, forty-two".