142763520 has 160 divisors (see below), whose sum is σ = 472871520. Its totient is φ = 36700160.

The previous prime is 142763497. The next prime is 142763629. The reversal of 142763520 is 25367241.

142763520 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 (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 222400 + ... + 223040.

It is an arithmetic number, because the mean of its divisors is an integer number (2955447).

Almost surely, 2^142763520 is an apocalyptic number.

142763520 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 142763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236435760).

142763520 is an abundant number, since it is smaller than the sum of its proper divisors (330108000).

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

142763520 is an equidigital number, since it uses as much as digits as its factorization.

142763520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 142763520 is about 11948.3689263430. The cubic root of 142763520 is about 522.6437354001.

The spelling of 142763520 in words is "one hundred forty-two million, seven hundred sixty-three thousand, five hundred twenty".