1545312120 has 256 divisors, whose sum is σ = 5213652480. Its totient is φ = 363264000.

The previous prime is 1545312077. The next prime is 1545312137. The reversal of 1545312120 is 212135451.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8932354 + ... + 8932526.

It is an arithmetic number, because the mean of its divisors is an integer number (20365830).

Almost surely, 2^1545312120 is an apocalyptic number.

1545312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1545312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606826240).

1545312120 is an abundant number, since it is smaller than the sum of its proper divisors (3668340360).

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

1545312120 is a wasteful number, since it uses less digits than its factorization.

1545312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1545312120 is about 39310.4581504719. The cubic root of 1545312120 is about 1156.1266269338.

Adding to 1545312120 its reverse (212135451), we get a palindrome (1757447571).

It can be divided in two parts, 154531 and 2120, that added together give a palindrome (156651).

The spelling of 1545312120 in words is "one billion, five hundred forty-five million, three hundred twelve thousand, one hundred twenty".