33142540 has 48 divisors (see below), whose sum is σ = 73402560. Its totient is φ = 12545280.

The previous prime is 33142493. The next prime is 33142547. The reversal of 33142540 is 4524133.

It is not an unprimeable number, because it can be changed into a prime (33142547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49810 + ... + 50470.

It is an arithmetic number, because the mean of its divisors is an integer number (1529220).

Almost surely, 2^33142540 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 33142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36701280).

33142540 is an abundant number, since it is smaller than the sum of its proper divisors (40260020).

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

33142540 is a wasteful number, since it uses less digits than its factorization.

33142540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 33142540 is about 5756.9557927780. The cubic root of 33142540 is about 321.2145898077.

Adding to 33142540 its reverse (4524133), we get a palindrome (37666673).

The spelling of 33142540 in words is "thirty-three million, one hundred forty-two thousand, five hundred forty".