126436512 has 96 divisors (see below), whose sum is σ = 343949760. Its totient is φ = 40642560.

The previous prime is 126436489. The next prime is 126436537. The reversal of 126436512 is 215634621.

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

It is a super-2 number, since 2×126436512² = 31972383133452288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126436512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449812 + ... + 450092.

It is an arithmetic number, because the mean of its divisors is an integer number (3582810).

Almost surely, 2^126436512 is an apocalyptic number.

126436512 is a gapful number since it is divisible by the number (12) 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 126436512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171974880).

126436512 is an abundant number, since it is smaller than the sum of its proper divisors (217513248).

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

126436512 is a wasteful number, since it uses less digits than its factorization.

126436512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 126436512 is about 11244.3991391270. The cubic root of 126436512 is about 501.9080586952.

The spelling of 126436512 in words is "one hundred twenty-six million, four hundred thirty-six thousand, five hundred twelve".