126781536 has 96 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 35237376.

The previous prime is 126781489. The next prime is 126781541. The reversal of 126781536 is 635187621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 126781494 and 126781503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22315 + ... + 27413.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^126781536 is an apocalyptic number.

126781536 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 126781536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

126781536 is an abundant number, since it is smaller than the sum of its proper divisors (263919264).

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

126781536 is a wasteful number, since it uses less digits than its factorization.

126781536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5148 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 126781536 is about 11259.7307250218. The cubic root of 126781536 is about 502.3641849731.

The spelling of 126781536 in words is "one hundred twenty-six million, seven hundred eighty-one thousand, five hundred thirty-six".