142153200 has 180 divisors, whose sum is σ = 563884048. Its totient is φ = 32486400.

The previous prime is 142153199. The next prime is 142153213. The reversal of 142153200 is 2351241.

Added to its reverse (2351241) it gives a square (144504441 = 12021²).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 22380 + ... + 28020.

Almost surely, 2^142153200 is an apocalyptic number.

142153200 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 142153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281942024).

142153200 is an abundant number, since it is smaller than the sum of its proper divisors (421730848).

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

142153200 is a wasteful number, since it uses less digits than its factorization.

142153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142153200 is about 11922.8016841680. The cubic root of 142153200 is about 521.8978969719.

Adding to 142153200 its reverse (2351241), we get a square (144504441 = 12021²).

The spelling of 142153200 in words is "one hundred forty-two million, one hundred fifty-three thousand, two hundred".