33142024134 has 48 divisors (see below), whose sum is σ = 73986063840. Its totient is φ = 10714135680.

The previous prime is 33142024073. The next prime is 33142024169. The reversal of 33142024134 is 43142024133.

33142024134 is a `hidden beast` number, since 33 + 14 + 202 + 413 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 33142024098 and 33142024107.

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, 127122 + ... + 287130.

It is an arithmetic number, because the mean of its divisors is an integer number (1541376330).

Almost surely, 2^33142024134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33142024134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36993031920).

33142024134 is an abundant number, since it is smaller than the sum of its proper divisors (40844039706).

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

33142024134 is a wasteful number, since it uses less digits than its factorization.

33142024134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160365 (or 160362 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33142024134 its reverse (43142024133), we get a palindrome (76284048267).

Subtracting 33142024134 from its reverse (43142024133), we obtain a palindrome (9999999999).

The spelling of 33142024134 in words is "thirty-three billion, one hundred forty-two million, twenty-four thousand, one hundred thirty-four".