45131400 has 72 divisors (see below), whose sum is σ = 151572330. Its totient is φ = 12034560.

The previous prime is 45131393. The next prime is 45131417. The reversal of 45131400 is 413154.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31337604 + 13793796 = 5598^2 + 3714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10737 + ... + 14336.

Almost surely, 2^45131400 is an apocalyptic number.

45131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45131400 is an abundant number, since it is smaller than the sum of its proper divisors (106440930).

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

45131400 is a wasteful number, since it uses less digits than its factorization.

45131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25095 (or 25083 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45131400 is about 6717.9907710565. The cubic root of 45131400 is about 356.0351983041.

Adding to 45131400 its reverse (413154), we get a palindrome (45544554).

The spelling of 45131400 in words is "forty-five million, one hundred thirty-one thousand, four hundred".