45531126 has 64 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 14407200.

The previous prime is 45531119. The next prime is 45531139. The reversal of 45531126 is 62113554.

45531126 is a `hidden beast` number, since 4 + 5 + 531 + 126 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45531126.

It is a congruent number.

It is an unprimeable number.

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, 98536 + ... + 98996.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^45531126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45531126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

45531126 is an abundant number, since it is smaller than the sum of its proper divisors (60913674).

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

45531126 is a wasteful number, since it uses less digits than its factorization.

45531126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45531126 is about 6747.6755997899. The cubic root of 45531126 is about 357.0832374232.

The spelling of 45531126 in words is "forty-five million, five hundred thirty-one thousand, one hundred twenty-six".