126278541 has 32 divisors (see below), whose sum is σ = 199756800. Its totient is φ = 78608880.

The previous prime is 126278527. The next prime is 126278563. The reversal of 126278541 is 145872621.

It is not a de Polignac number, because 126278541 - 2¹³ = 126270349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126278496 and 126278505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126278591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34690 + ... + 38156.

It is an arithmetic number, because the mean of its divisors is an integer number (6242400).

Almost surely, 2^126278541 is an apocalyptic number.

It is an amenable number.

126278541 is a deficient number, since it is larger than the sum of its proper divisors (73478259).

126278541 is a wasteful number, since it uses less digits than its factorization.

126278541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3560 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 126278541 is about 11237.3725131812. The cubic root of 126278541 is about 501.6989419871.

The spelling of 126278541 in words is "one hundred twenty-six million, two hundred seventy-eight thousand, five hundred forty-one".