45142000 has 40 divisors (see below), whose sum is σ = 109158192. Its totient is φ = 18056000.

The previous prime is 45141997. The next prime is 45142007. The reversal of 45142000 is 24154.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45142007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9286 + ... + 13285.

Almost surely, 2^45142000 is an apocalyptic number.

45142000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45142000 is an abundant number, since it is smaller than the sum of its proper divisors (64016192).

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

45142000 is a wasteful number, since it uses less digits than its factorization.

45142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22594 (or 22578 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 45142000 is about 6718.7796510974. The cubic root of 45142000 is about 356.0630700864.

Adding to 45142000 its reverse (24154), we get a palindrome (45166154).

The spelling of 45142000 in words is "forty-five million, one hundred forty-two thousand".