53142120 has 48 divisors (see below), whose sum is σ = 172713060. Its totient is φ = 14171136.

The previous prime is 53142113. The next prime is 53142127. The reversal of 53142120 is 2124135.

It is an interprime number because it is at equal distance from previous prime (53142113) and next prime (53142127).

It can be written as a sum of positive squares in 2 ways, for example, as 52446564 + 695556 = 7242^2 + 834^2 .

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 = 53142093 and 53142102.

It is not an unprimeable number, because it can be changed into a prime (53142127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73449 + ... + 74168.

Almost surely, 2^53142120 is an apocalyptic number.

It is an amenable number.

53142120 is an abundant number, since it is smaller than the sum of its proper divisors (119570940).

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

53142120 is a wasteful number, since it uses less digits than its factorization.

53142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147634 (or 147627 counting only the distinct ones).

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

The square root of 53142120 is about 7289.8641962659. The cubic root of 53142120 is about 375.9640262852.

Adding to 53142120 its reverse (2124135), we get a palindrome (55266255).

It can be divided in two parts, 531421 and 20, that added together give a 12-th power (531441 = 3¹²).

The spelling of 53142120 in words is "fifty-three million, one hundred forty-two thousand, one hundred twenty".