142001268552 has 384 divisors, whose sum is σ = 458613792000. Its totient is φ = 39128832000.

The previous prime is 142001268527. The next prime is 142001268553. The reversal of 142001268552 is 255862100241.

142001268552 is a `hidden beast` number, since 1 + 42 + 0 + 0 + 1 + 2 + 68 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142001268553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231649398 + ... + 231650010.

It is an arithmetic number, because the mean of its divisors is an integer number (1194306750).

Almost surely, 2^142001268552 is an apocalyptic number.

142001268552 is a gapful number since it is divisible by the number (12) 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 142001268552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229306896000).

142001268552 is an abundant number, since it is smaller than the sum of its proper divisors (316612523448).

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

142001268552 is a wasteful number, since it uses less digits than its factorization.

142001268552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 142001268552 its reverse (255862100241), we get a palindrome (397863368793).

The spelling of 142001268552 in words is "one hundred forty-two billion, one million, two hundred sixty-eight thousand, five hundred fifty-two".