126409536 has 168 divisors, whose sum is σ = 402262848. Its totient is φ = 37632000.

The previous prime is 126409523. The next prime is 126409553. The reversal of 126409536 is 635904621.

It is a happy number.

126409536 is a `hidden beast` number, since 1 + 2 + 640 + 9 + 5 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126409536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449716 + ... + 449996.

Almost surely, 2^126409536 is an apocalyptic number.

126409536 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 126409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201131424).

126409536 is an abundant number, since it is smaller than the sum of its proper divisors (275853312).

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

126409536 is a wasteful number, since it uses less digits than its factorization.

126409536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 126409536 is about 11243.1995446136. The cubic root of 126409536 is about 501.8723611091.

The spelling of 126409536 in words is "one hundred twenty-six million, four hundred nine thousand, five hundred thirty-six".