142496 has 24 divisors (see below), whose sum is σ = 289044. Its totient is φ = 69120.

The previous prime is 142469. The next prime is 142501. The reversal of 142496 is 694241.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 10000 = 364^2 + 100^2 .

It is a super-2 number, since 2×142496^{2} = 40610220032, which contains 22 as substring.

Its product of digits (1728) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

142496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1916 + ... + 1988.

2^{142496} is an apocalyptic number.

142496 is a gapful number since it is divisible by the number (16) 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 142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144522).

142496 is an abundant number, since it is smaller than the sum of its proper divisors (146548).

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

142496 is an equidigital number, since it uses as much as digits as its factorization.

142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 142496 is about 377.4864235969. The cubic root of 142496 is about 52.2317076142.

The spelling of 142496 in words is "one hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 73 122 146 244 292 488 584 976 1168 1952 2336 4453 8906 17812 35624 71248 142496

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