142132838400 has 1428 divisors, whose sum is σ = 639515331792. Its totient is φ = 30576476160.

The previous prime is 142132838327. The next prime is 142132838429. The reversal of 142132838400 is 4838231241.

It is a happy number.

142132838400 is a `hidden beast` number, since 1 + 4 + 213 + 2 + 8 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1428).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8360755192 + ... + 8360755208.

Almost surely, 2^142132838400 is an apocalyptic number.

142132838400 is a gapful number since it is divisible by the number (10) 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 142132838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319757665896).

142132838400 is an abundant number, since it is smaller than the sum of its proper divisors (497382493392).

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

142132838400 is an frugal number, since it uses more digits than its factorization.

142132838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 142132838400 in words is "one hundred forty-two billion, one hundred thirty-two million, eight hundred thirty-eight thousand, four hundred".