127361442 has 96 divisors (see below), whose sum is σ = 296828928. Its totient is φ = 36324288.

The previous prime is 127361431. The next prime is 127361449. The reversal of 127361442 is 244163721.

Its product of digits (8064) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (127361449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002783 + ... + 1002909.

It is an arithmetic number, because the mean of its divisors is an integer number (3091968).

Almost surely, 2^127361442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127361442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148414464).

127361442 is an abundant number, since it is smaller than the sum of its proper divisors (169467486).

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

127361442 is a wasteful number, since it uses less digits than its factorization.

127361442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 127361442 is about 11285.4526714705. The cubic root of 127361442 is about 503.1289676114.

The spelling of 127361442 in words is "one hundred twenty-seven million, three hundred sixty-one thousand, four hundred forty-two".