45936126 has 64 divisors (see below), whose sum is σ = 106275840. Its totient is φ = 14696640.

The previous prime is 45936119. The next prime is 45936127. The reversal of 45936126 is 62163954.

It is a happy number.

45936126 is a `hidden beast` number, since 4 + 593 + 61 + 2 + 6 = 666.

It is a super-2 number, since 2×45936126² = 4220255343775752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45936127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169371 + ... + 169641.

It is an arithmetic number, because the mean of its divisors is an integer number (1660560).

Almost surely, 2^45936126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45936126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53137920).

45936126 is an abundant number, since it is smaller than the sum of its proper divisors (60339714).

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

45936126 is a wasteful number, since it uses less digits than its factorization.

45936126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

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

The square root of 45936126 is about 6777.6194935980. The cubic root of 45936126 is about 358.1388670928.

It can be divided in two parts, 459 and 36126, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 45936126 in words is "forty-five million, nine hundred thirty-six thousand, one hundred twenty-six".