45372138 has 96 divisors (see below), whose sum is σ = 112077504. Its totient is φ = 12192768.

The previous prime is 45372137. The next prime is 45372143. The reversal of 45372138 is 83127354.

45372138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45372099 and 45372108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45372137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467706 + ... + 467802.

It is an arithmetic number, because the mean of its divisors is an integer number (1167474).

Almost surely, 2^45372138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45372138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56038752).

45372138 is an abundant number, since it is smaller than the sum of its proper divisors (66705366).

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

45372138 is a wasteful number, since it uses less digits than its factorization.

45372138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 45372138 is about 6735.8843517388. The cubic root of 45372138 is about 356.6671253185.

The spelling of 45372138 in words is "forty-five million, three hundred seventy-two thousand, one hundred thirty-eight".