142950225600 has 3360 divisors, whose sum is σ = 737568792576. Its totient is φ = 26276659200.

The previous prime is 142950225557. The next prime is 142950225643. The reversal of 142950225600 is 6522059241.

142950225600 is a `hidden beast` number, since 1 + 4 + 2 + 95 + 0 + 2 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142950225557) and next prime (142950225643).

It is a tau number, because it is divible by the number of its divisors (3360).

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 (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4611297585 + ... + 4611297615.

Almost surely, 2^142950225600 is an apocalyptic number.

142950225600 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 142950225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368784396288).

142950225600 is an abundant number, since it is smaller than the sum of its proper divisors (594618566976).

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

142950225600 is a wasteful number, since it uses less digits than its factorization.

142950225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

142950225600 divided by its product of nonzero digits (43200) gives a palindrome (3309033).

The spelling of 142950225600 in words is "one hundred forty-two billion, nine hundred fifty million, two hundred twenty-five thousand, six hundred".