45185140 has 192 divisors, whose sum is σ = 132991488. Its totient is φ = 12441600.

The previous prime is 45185123. The next prime is 45185171. The reversal of 45185140 is 4158154.

45185140 = T₁₃₁ + T₁₃₂ + ... + T₆₄₈.

45185140 = 254² + 255² + ... + 533².

45185140 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 45185099 and 45185108.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 740710 + ... + 740770.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 2^45185140 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 45185140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

45185140 is an abundant number, since it is smaller than the sum of its proper divisors (87806348).

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

45185140 is a wasteful number, since it uses less digits than its factorization.

45185140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 45185140 is about 6721.9892888936. The cubic root of 45185140 is about 356.1764579907.

The spelling of 45185140 in words is "forty-five million, one hundred eighty-five thousand, one hundred forty".