45629136 has 160 divisors (see below), whose sum is σ = 152371200. Its totient is φ = 12804480.

The previous prime is 45629119. The next prime is 45629137. The reversal of 45629136 is 63192654.

It is a happy number.

45629136 is a `hidden beast` number, since 4 + 562 + 91 + 3 + 6 = 666.

45629136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 45629136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45629137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238801 + ... + 238991.

It is an arithmetic number, because the mean of its divisors is an integer number (952320).

Almost surely, 2^45629136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45629136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76185600).

45629136 is an abundant number, since it is smaller than the sum of its proper divisors (106742064).

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

45629136 is a wasteful number, since it uses less digits than its factorization.

45629136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

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

The square root of 45629136 is about 6754.9341965707. The cubic root of 45629136 is about 357.3392721347.

It can be divided in two parts, 456 and 29136, that added together give a palindrome (29592).

The spelling of 45629136 in words is "forty-five million, six hundred twenty-nine thousand, one hundred thirty-six".