45743136 has 48 divisors (see below), whose sum is σ = 125302464. Its totient is φ = 14584064.

The previous prime is 45743101. The next prime is 45743153. The reversal of 45743136 is 63134754.

45743136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×45743136² = 4184868982228992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45743097 and 45743106.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8151 + ... + 12566.

It is an arithmetic number, because the mean of its divisors is an integer number (2610468).

Almost surely, 2^45743136 is an apocalyptic number.

45743136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

45743136 is an abundant number, since it is smaller than the sum of its proper divisors (79559328).

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

45743136 is a wasteful number, since it uses less digits than its factorization.

45743136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20753 (or 20745 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 45743136 is about 6763.3672087208. The cubic root of 45743136 is about 357.6366172234.

The spelling of 45743136 in words is "forty-five million, seven hundred forty-three thousand, one hundred thirty-six".