1542116160 has 168 divisors, whose sum is σ = 5712393960. Its totient is φ = 379588608.

The previous prime is 1542116159. The next prime is 1542116161. The reversal of 1542116160 is 616112451.

1542116160 is a `hidden beast` number, since 1 + 5 + 42 + 1 + 1 + 616 + 0 = 666.

1542116160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1542116159) and next prime (1542116161).

It can be written as a sum of positive squares in 4 ways, for example, as 98724096 + 1443392064 = 9936^2 + 37992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542116161) 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, 16846 + ... + 58034.

It is an arithmetic number, because the mean of its divisors is an integer number (34002345).

Almost surely, 2^1542116160 is an apocalyptic number.

1542116160 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 1542116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856196980).

1542116160 is an abundant number, since it is smaller than the sum of its proper divisors (4170277800).

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

1542116160 is a wasteful number, since it uses less digits than its factorization.

1542116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41225 (or 41212 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1542116160 is about 39269.7868596202. The cubic root of 1542116160 is about 1155.3290567468.

The spelling of 1542116160 in words is "one billion, five hundred forty-two million, one hundred sixteen thousand, one hundred sixty".