142021600 has 108 divisors (see below), whose sum is σ = 403427304. Its totient is φ = 48679680.

The previous prime is 142021567. The next prime is 142021601. The reversal of 142021600 is 6120241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142021601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37389 + ... + 41011.

It is an arithmetic number, because the mean of its divisors is an integer number (3735438).

Almost surely, 2^142021600 is an apocalyptic number.

142021600 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 142021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201713652).

142021600 is an abundant number, since it is smaller than the sum of its proper divisors (261405704).

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

142021600 is a wasteful number, since it uses less digits than its factorization.

142021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 142021600 is about 11917.2815692170. The cubic root of 142021600 is about 521.7367962053.

Adding to 142021600 its reverse (6120241), we get a palindrome (148141841).

It can be divided in two parts, 14 and 2021600, that multiplied together give a square (28302400 = 5320²).

The spelling of 142021600 in words is "one hundred forty-two million, twenty-one thousand, six hundred".