142763065600 has 81 divisors (see below), whose sum is σ = 353435726973. Its totient is φ = 57093135360.

The previous prime is 142763065589. The next prime is 142763065603. The reversal of 142763065600 is 6560367241.

The square root of 142763065600 is 377840.

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., 51394703616 + 91368361984 = 226704^2 + 302272^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142763065603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30224839 + ... + 30229561.

Almost surely, 2^142763065600 is an apocalyptic number.

142763065600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142763065600 is the 377840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142763065600

142763065600 is an abundant number, since it is smaller than the sum of its proper divisors (210672661373).

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

142763065600 is an frugal number, since it uses more digits than its factorization.

142763065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 142763065600 in words is "one hundred forty-two billion, seven hundred sixty-three million, sixty-five thousand, six hundred".