45126600 has 48 divisors (see below), whose sum is σ = 139894320. Its totient is φ = 12033600.

The previous prime is 45126589. The next prime is 45126611. The reversal of 45126600 is 662154.

It is an interprime number because it is at equal distance from previous prime (45126589) and next prime (45126611).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37006 + ... + 38205.

It is an arithmetic number, because the mean of its divisors is an integer number (2914465).

Almost surely, 2^45126600 is an apocalyptic number.

45126600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45126600 is an abundant number, since it is smaller than the sum of its proper divisors (94767720).

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

45126600 is a wasteful number, since it uses less digits than its factorization.

45126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75230 (or 75221 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 45126600 is about 6717.6335118850. The cubic root of 45126600 is about 356.0225756840.

Adding to 45126600 its reverse (662154), we get a palindrome (45788754).

It can be divided in two parts, 45 and 126600, that multiplied together give a triangular number (5697000 = T₃₃₇₅).

The spelling of 45126600 in words is "forty-five million, one hundred twenty-six thousand, six hundred".