142041600 has 300 divisors, whose sum is σ = 529543674. Its totient is φ = 37601280.

The previous prime is 142041577. The next prime is 142041617. The reversal of 142041600 is 6140241.

142041600 is a `hidden beast` number, since 1 + 4 + 20 + 41 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 110502144 + 31539456 = 10512^2 + 5616^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×142041600² = 40351632261120000, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036732 + ... + 1036868.

Almost surely, 2^142041600 is an apocalyptic number.

142041600 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 142041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264771837).

142041600 is an abundant number, since it is smaller than the sum of its proper divisors (387502074).

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

142041600 is an equidigital number, since it uses as much as digits as its factorization.

142041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142041600 is about 11918.1206572177. The cubic root of 142041600 is about 521.7612860157.

Adding to 142041600 its reverse (6140241), we get a palindrome (148181841).

The spelling of 142041600 in words is "one hundred forty-two million, forty-one thousand, six hundred".