542137000 has 96 divisors (see below), whose sum is σ = 1299687480. Its totient is φ = 211660800.

The previous prime is 542136983. The next prime is 542137009. The reversal of 542137000 is 731245.

It can be written as a sum of positive squares in 12 ways, for example, as 7695076 + 534441924 = 2774^2 + 23118^2 .

It is not an unprimeable number, because it can be changed into a prime (542137009) 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, 2808904 + ... + 2809096.

Almost surely, 2^542137000 is an apocalyptic number.

542137000 is a gapful number since it is divisible by the number (50) 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 542137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649843740).

542137000 is an abundant number, since it is smaller than the sum of its proper divisors (757550480).

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

542137000 is a wasteful number, since it uses less digits than its factorization.

542137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 542137000 is about 23283.8355946781. The cubic root of 542137000 is about 815.3980767008.

Adding to 542137000 its reverse (731245), we get a palindrome (542868245).

The spelling of 542137000 in words is "five hundred forty-two million, one hundred thirty-seven thousand".