542132000 has 48 divisors (see below), whose sum is σ = 1332028152. Its totient is φ = 216851200.

The previous prime is 542131939. The next prime is 542132009. The reversal of 542132000 is 231245.

It can be written as a sum of positive squares in 4 ways, for example, as 269353744 + 272778256 = 16412^2 + 16516^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 542132000.

It is not an unprimeable number, because it can be changed into a prime (542132009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63767 + ... + 71766.

Almost surely, 2^542132000 is an apocalyptic number.

542132000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542132000 is an abundant number, since it is smaller than the sum of its proper divisors (789896152).

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

542132000 is a wasteful number, since it uses less digits than its factorization.

542132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135558 (or 135540 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 542132000 is about 23283.7282238047. The cubic root of 542132000 is about 815.3955699526.

Adding to 542132000 its reverse (231245), we get a palindrome (542363245).

The spelling of 542132000 in words is "five hundred forty-two million, one hundred thirty-two thousand".