142770528 has 144 divisors (see below), whose sum is σ = 423508176. Its totient is φ = 45588480.

The previous prime is 142770461. The next prime is 142770533. The reversal of 142770528 is 825077241.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 142770492 and 142770501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1263400 + ... + 1263512.

It is an arithmetic number, because the mean of its divisors is an integer number (2941029).

Almost surely, 2^142770528 is an apocalyptic number.

142770528 is a gapful number since it is divisible by the number (18) 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 142770528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211754088).

142770528 is an abundant number, since it is smaller than the sum of its proper divisors (280737648).

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

142770528 is a wasteful number, since it uses less digits than its factorization.

142770528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 142770528 is about 11948.6621845293. The cubic root of 142770528 is about 522.6522871351.

The spelling of 142770528 in words is "one hundred forty-two million, seven hundred seventy thousand, five hundred twenty-eight".