142034265504 has 288 divisors, whose sum is σ = 437187643200. Its totient is φ = 44855078400.

The previous prime is 142034265491. The next prime is 142034265511. The reversal of 142034265504 is 405562430241.

142034265504 is a `hidden beast` number, since 142 + 0 + 3 + 4 + 2 + 6 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49817679 + ... + 49820529.

It is an arithmetic number, because the mean of its divisors is an integer number (1518012650).

Almost surely, 2^142034265504 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 142034265504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218593821600).

142034265504 is an abundant number, since it is smaller than the sum of its proper divisors (295153377696).

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

142034265504 is a wasteful number, since it uses less digits than its factorization.

142034265504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 142034265504 its reverse (405562430241), we get a palindrome (547596695745).

The spelling of 142034265504 in words is "one hundred forty-two billion, thirty-four million, two hundred sixty-five thousand, five hundred four".