126413136 has 100 divisors (see below), whose sum is σ = 369818592. Its totient is φ = 41684544.

The previous prime is 126413107. The next prime is 126413143. The reversal of 126413136 is 631314621.

126413136 is a `hidden beast` number, since 1 + 2 + 641 + 3 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133015 + ... + 133961.

Almost surely, 2^126413136 is an apocalyptic number.

126413136 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 126413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184909296).

126413136 is an abundant number, since it is smaller than the sum of its proper divisors (243405456).

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

126413136 is a wasteful number, since it uses less digits than its factorization.

126413136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 126413136 is about 11243.3596402499. The cubic root of 126413136 is about 501.8771253154.

Adding to 126413136 its reverse (631314621), we get a palindrome (757727757).

It can be divided in two parts, 1264 and 13136, that added together give a square (14400 = 120²).

The spelling of 126413136 in words is "one hundred twenty-six million, four hundred thirteen thousand, one hundred thirty-six".