235142784 has 128 divisors (see below), whose sum is σ = 730728000. Its totient is φ = 74234880.

The previous prime is 235142753. The next prime is 235142797. The reversal of 235142784 is 487241532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63874 + ... + 67454.

Almost surely, 2^235142784 is an apocalyptic number.

235142784 is a gapful number since it is divisible by the number (24) 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 235142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365364000).

235142784 is an abundant number, since it is smaller than the sum of its proper divisors (495585216).

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

235142784 is a wasteful number, since it uses less digits than its factorization.

235142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3605 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 235142784 is about 15334.3661101462. The cubic root of 235142784 is about 617.2255356603.

The spelling of 235142784 in words is "two hundred thirty-five million, one hundred forty-two thousand, seven hundred eighty-four".