142752960 has 336 divisors, whose sum is σ = 574706496. Its totient is φ = 31850496.

The previous prime is 142752949. The next prime is 142752977. The reversal of 142752960 is 69257241.

142752960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1471632 + ... + 1471728.

It is an arithmetic number, because the mean of its divisors is an integer number (1710436).

Almost surely, 2^142752960 is an apocalyptic number.

142752960 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 142752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287353248).

142752960 is an abundant number, since it is smaller than the sum of its proper divisors (431953536).

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

142752960 is a wasteful number, since it uses less digits than its factorization.

142752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 142752960 is about 11947.9270168511. The cubic root of 142752960 is about 522.6308486955.

The spelling of 142752960 in words is "one hundred forty-two million, seven hundred fifty-two thousand, nine hundred sixty".