142889760 has 288 divisors, whose sum is σ = 557247600. Its totient is φ = 33030144.

The previous prime is 142889759. The next prime is 142889771. The reversal of 142889760 is 67988241.

It can be written as a sum of positive squares in 8 ways, for example, as 62536464 + 80353296 = 7908^2 + 8964^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318016 + ... + 318464.

Almost surely, 2^142889760 is an apocalyptic number.

142889760 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 142889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278623800).

142889760 is an abundant number, since it is smaller than the sum of its proper divisors (414357840).

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

142889760 is a wasteful number, since it uses less digits than its factorization.

142889760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 142889760 is about 11953.6504884491. The cubic root of 142889760 is about 522.7977409129.

The spelling of 142889760 in words is "one hundred forty-two million, eight hundred eighty-nine thousand, seven hundred sixty".