126735616 has 72 divisors (see below), whose sum is σ = 291392640. Its totient is φ = 53889024.

The previous prime is 126735571. The next prime is 126735647. The reversal of 126735616 is 616537621.

It is a congruent number.

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, 352845 + ... + 353203.

It is an arithmetic number, because the mean of its divisors is an integer number (4047120).

Almost surely, 2^126735616 is an apocalyptic number.

126735616 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 126735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145696320).

126735616 is an abundant number, since it is smaller than the sum of its proper divisors (164657024).

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

126735616 is an equidigital number, since it uses as much as digits as its factorization.

126735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 126735616 is about 11257.6914152059. The cubic root of 126735616 is about 502.3035259061.

It can be divided in two parts, 126735 and 616, that multiplied together give a triangular number (78068760 = T₁₂₄₉₅).

The spelling of 126735616 in words is "one hundred twenty-six million, seven hundred thirty-five thousand, six hundred sixteen".