45146052 has 144 divisors (see below), whose sum is σ = 143640000. Its totient is φ = 12192768.

The previous prime is 45146041. The next prime is 45146053. The reversal of 45146052 is 25064154.

45146052 is a `hidden beast` number, since 4 + 51 + 4 + 605 + 2 = 666.

It is a super-2 number, since 2×45146052² = 4076332022373408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45146053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100324 + ... + 100772.

It is an arithmetic number, because the mean of its divisors is an integer number (997500).

Almost surely, 2^45146052 is an apocalyptic number.

45146052 is a gapful number since it is divisible by the number (42) 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 45146052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820000).

45146052 is an abundant number, since it is smaller than the sum of its proper divisors (98493948).

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

45146052 is a wasteful number, since it uses less digits than its factorization.

45146052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45146052 is about 6719.0811871862. The cubic root of 45146052 is about 356.0737233169.

The spelling of 45146052 in words is "forty-five million, one hundred forty-six thousand, fifty-two".