45149940 has 144 divisors (see below), whose sum is σ = 154620480. Its totient is φ = 10929600.

The previous prime is 45149933. The next prime is 45149959. The reversal of 45149940 is 4994154.

It is a happy number.

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 = 45149895 and 45149904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64995 + ... + 65685.

Almost surely, 2^45149940 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 45149940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77310240).

45149940 is an abundant number, since it is smaller than the sum of its proper divisors (109470540).

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

45149940 is a wasteful number, since it uses less digits than its factorization.

45149940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45149940 is about 6719.3705062305. The cubic root of 45149940 is about 356.0839447710.

The spelling of 45149940 in words is "forty-five million, one hundred forty-nine thousand, nine hundred forty".