1542452000 has 96 divisors (see below), whose sum is σ = 3920782320. Its totient is φ = 595660800.

The previous prime is 1542451991. The next prime is 1542452047. The reversal of 1542452000 is 2542451.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 44142736 + 1498309264 = 6644^2 + 38708^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109352 + ... + 122648.

Almost surely, 2^1542452000 is an apocalyptic number.

1542452000 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 1542452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960391160).

1542452000 is an abundant number, since it is smaller than the sum of its proper divisors (2378330320).

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

1542452000 is a wasteful number, since it uses less digits than its factorization.

1542452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13351 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 1542452000 is about 39274.0626877332. The cubic root of 1542452000 is about 1155.4129193328.

Adding to 1542452000 its reverse (2542451), we get a palindrome (1544994451).

The spelling of 1542452000 in words is "one billion, five hundred forty-two million, four hundred fifty-two thousand".