45506142 has 48 divisors (see below), whose sum is σ = 108051840. Its totient is φ = 13726800.

The previous prime is 45506141. The next prime is 45506173. The reversal of 45506142 is 24160554.

45506142 is a `hidden beast` number, since 45 + 5 + 0 + 614 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45506141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61209 + ... + 61947.

It is an arithmetic number, because the mean of its divisors is an integer number (2251080).

Almost surely, 2^45506142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45506142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025920).

45506142 is an abundant number, since it is smaller than the sum of its proper divisors (62545698).

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

45506142 is a wasteful number, since it uses less digits than its factorization.

45506142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1066 counting only the distinct ones).

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

The square root of 45506142 is about 6745.8240415831. The cubic root of 45506142 is about 357.0179121488.

Adding to 45506142 its reverse (24160554), we get a palindrome (69666696).

The spelling of 45506142 in words is "forty-five million, five hundred six thousand, one hundred forty-two".