542115756 has 144 divisors (see below), whose sum is σ = 1701167104. Its totient is φ = 141740928.

The previous prime is 542115731. The next prime is 542115757. The reversal of 542115756 is 657511245.

542115756 is a `hidden beast` number, since 542 + 11 + 57 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 542115756.

It is not an unprimeable number, because it can be changed into a prime (542115757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415401 + ... + 416703.

Almost surely, 2^542115756 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 542115756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850583552).

542115756 is an abundant number, since it is smaller than the sum of its proper divisors (1159051348).

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

542115756 is a wasteful number, since it uses less digits than its factorization.

542115756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1455 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 542115756 is about 23283.3793938938. The cubic root of 542115756 is about 815.3874259225.

The spelling of 542115756 in words is "five hundred forty-two million, one hundred fifteen thousand, seven hundred fifty-six".