142020720 has 240 divisors, whose sum is σ = 519154272. Its totient is φ = 34652160.

The previous prime is 142020709. The next prime is 142020727. The reversal of 142020720 is 27020241.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 142020693 and 142020702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142020727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501699 + ... + 501981.

Almost surely, 2^142020720 is an apocalyptic number.

142020720 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 142020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259577136).

142020720 is an abundant number, since it is smaller than the sum of its proper divisors (377133552).

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

142020720 is a wasteful number, since it uses less digits than its factorization.

142020720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 142020720 is about 11917.2446479881. The cubic root of 142020720 is about 521.7357186009.

Adding to 142020720 its reverse (27020241), we get a palindrome (169040961).

The spelling of 142020720 in words is "one hundred forty-two million, twenty thousand, seven hundred twenty".