45185940 has 36 divisors (see below), whose sum is σ = 137064564. Its totient is φ = 12049536.

The previous prime is 45185927. The next prime is 45185953. The reversal of 45185940 is 4958154.

It is an interprime number because it is at equal distance from previous prime (45185927) and next prime (45185953).

It can be written as a sum of positive squares in 2 ways, for example, as 7584516 + 37601424 = 2754^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45185895 and 45185904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125337 + ... + 125696.

It is an arithmetic number, because the mean of its divisors is an integer number (3807349).

Almost surely, 2^45185940 is an apocalyptic number.

It is an amenable number.

45185940 is an abundant number, since it is smaller than the sum of its proper divisors (91878624).

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

45185940 is a wasteful number, since it uses less digits than its factorization.

45185940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251048 (or 251043 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 45185940 is about 6722.0487948244. The cubic root of 45185940 is about 356.1785600054.

The spelling of 45185940 in words is "forty-five million, one hundred eighty-five thousand, nine hundred forty".