45155040 has 192 divisors, whose sum is σ = 165473280. Its totient is φ = 10137600.

The previous prime is 45155021. The next prime is 45155041. The reversal of 45155040 is 4055154.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45155040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45155041) 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, 298965 + ... + 299115.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^45155040 is an apocalyptic number.

45155040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

45155040 is an abundant number, since it is smaller than the sum of its proper divisors (120318240).

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

45155040 is a wasteful number, since it uses less digits than its factorization.

45155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 45155040 is about 6719.7499953495. The cubic root of 45155040 is about 356.0973516530.

The spelling of 45155040 in words is "forty-five million, one hundred fifty-five thousand, forty".