542574144 has 168 divisors, whose sum is σ = 1811609280. Its totient is φ = 152036352.

The previous prime is 542574103. The next prime is 542574161. The reversal of 542574144 is 441475245.

542574144 is a `hidden beast` number, since 5 + 42 + 574 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542574099 and 542574108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212427 + ... + 214965.

Almost surely, 2^542574144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905804640).

542574144 is an abundant number, since it is smaller than the sum of its proper divisors (1269035136).

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

542574144 is a wasteful number, since it uses less digits than its factorization.

542574144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2604 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 542574144 is about 23293.2209880901. The cubic root of 542574144 is about 815.6171791385.

The spelling of 542574144 in words is "five hundred forty-two million, five hundred seventy-four thousand, one hundred forty-four".