45671136 has 192 divisors, whose sum is σ = 149184000. Its totient is φ = 12192768.

The previous prime is 45671111. The next prime is 45671137. The reversal of 45671136 is 63117654.

45671136 = T₄₁₃ + T₄₁₄ + ... + T₇₀₀.

Its product of digits (15120) is a multiple of the sum of its prime factors (126).

It is a junction number, because it is equal to n+sod(n) for n = 45671097 and 45671106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45671137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625596 + ... + 625668.

It is an arithmetic number, because the mean of its divisors is an integer number (777000).

Almost surely, 2^45671136 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 45671136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74592000).

45671136 is an abundant number, since it is smaller than the sum of its proper divisors (103512864).

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

45671136 is a wasteful number, since it uses less digits than its factorization.

45671136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 45671136 is about 6758.0423200806. The cubic root of 45671136 is about 357.4488778840.

The spelling of 45671136 in words is "forty-five million, six hundred seventy-one thousand, one hundred thirty-six".