126540416 has 32 divisors (see below), whose sum is σ = 253800480. Its totient is φ = 62841600.

The previous prime is 126540397. The next prime is 126540431. The reversal of 126540416 is 614045621.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16055 + ... + 22601.

It is an arithmetic number, because the mean of its divisors is an integer number (7931265).

Almost surely, 2^126540416 is an apocalyptic number.

126540416 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 126540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126900240).

126540416 is an abundant number, since it is smaller than the sum of its proper divisors (127260064).

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

126540416 is an equidigital number, since it uses as much as digits as its factorization.

126540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 126540416 is about 11249.0184460690. The cubic root of 126540416 is about 502.0455083794.

The spelling of 126540416 in words is "one hundred twenty-six million, five hundred forty thousand, four hundred sixteen".