142400362500 has 576 divisors, whose sum is σ = 509164911360. Its totient is φ = 34412400000.

The previous prime is 142400362477. The next prime is 142400362543. The reversal of 142400362500 is 5263004241.

142400362500 is a `hidden beast` number, since 1 + 4 + 2 + 400 + 3 + 6 + 250 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 449212342 + ... + 449212658.

It is an arithmetic number, because the mean of its divisors is an integer number (883966860).

Almost surely, 2^142400362500 is an apocalyptic number.

142400362500 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 142400362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254582455680).

142400362500 is an abundant number, since it is smaller than the sum of its proper divisors (366764548860).

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

142400362500 is an equidigital number, since it uses as much as digits as its factorization.

142400362500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 142400362500 its reverse (5263004241), we get a palindrome (147663366741).

The spelling of 142400362500 in words is "one hundred forty-two billion, four hundred million, three hundred sixty-two thousand, five hundred".