542130000 has 200 divisors, whose sum is σ = 1854756288. Its totient is φ = 135936000.

The previous prime is 542129971. The next prime is 542130041. The reversal of 542130000 is 31245.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 509469 + ... + 510531.

Almost surely, 2^542130000 is an apocalyptic number.

542130000 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 542130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927378144).

542130000 is an abundant number, since it is smaller than the sum of its proper divisors (1312626288).

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

542130000 is a wasteful number, since it uses less digits than its factorization.

542130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 542130000 is about 23283.6852753167. The cubic root of 542130000 is about 815.3945672490.

Adding to 542130000 its reverse (31245), we get a palindrome (542161245).

The spelling of 542130000 in words is "five hundred forty-two million, one hundred thirty thousand".