142747952400 has 225 divisors, whose sum is σ = 512555136181. Its totient is φ = 38047985280.

The previous prime is 142747952393. The next prime is 142747952441. The reversal of 142747952400 is 4259747241.

The square root of 142747952400 is 377820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51389262864 + 91358689536 = 226692^2 + 302256^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68006551 + ... + 68008649.

Almost surely, 2^142747952400 is an apocalyptic number.

142747952400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142747952400 is the 377820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142747952400

142747952400 is an abundant number, since it is smaller than the sum of its proper divisors (369807183781).

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

142747952400 is an frugal number, since it uses more digits than its factorization.

142747952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 142747952400 in words is "one hundred forty-two billion, seven hundred forty-seven million, nine hundred fifty-two thousand, four hundred".