1545187680 has 144 divisors (see below), whose sum is σ = 5283414864. Its totient is φ = 411233280.

The previous prime is 1545187667. The next prime is 1545187687. The reversal of 1545187680 is 867815451.

1545187680 is a `hidden beast` number, since 1 + 54 + 518 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1545187680³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1545187687) 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 23 ways as a sum of consecutive naturals, for example, 1181587 + ... + 1182893.

It is an arithmetic number, because the mean of its divisors is an integer number (36690381).

Almost surely, 2^1545187680 is an apocalyptic number.

1545187680 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 1545187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641707432).

1545187680 is an abundant number, since it is smaller than the sum of its proper divisors (3738227184).

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

1545187680 is a wasteful number, since it uses less digits than its factorization.

1545187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 1545187680 is about 39308.8753336953. The cubic root of 1545187680 is about 1156.0955928022.

It can be divided in two parts, 1545 and 187680, that added together give a square (189225 = 435²).

The spelling of 1545187680 in words is "one billion, five hundred forty-five million, one hundred eighty-seven thousand, six hundred eighty".