1545120 has 144 divisors (see below), whose sum is σ = 5601960. Its totient is φ = 387072.

The previous prime is 1545107. The next prime is 1545121. The reversal of 1545120 is 215451.

1545120 is a `hidden beast` number, since 1 + 545 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 76176 = 1212^2 + 276^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1545093 and 1545102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1545121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41742 + ... + 41778.

2^1545120 is an apocalyptic number.

1545120 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 1545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800980).

1545120 is an abundant number, since it is smaller than the sum of its proper divisors (4056840).

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

1545120 is a wasteful number, since it uses less digits than its factorization.

1545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1545120 is about 1243.0285596075. The cubic root of 1545120 is about 115.6078713366.

The spelling of 1545120 in words is "one million, five hundred forty-five thousand, one hundred twenty".