142537248 has 144 divisors (see below), whose sum is σ = 490613760. Its totient is φ = 38320128.

The previous prime is 142537237. The next prime is 142537249. The reversal of 142537248 is 842735241.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (142537249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32193 + ... + 36351.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2^142537248 is an apocalyptic number.

142537248 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 142537248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

142537248 is an abundant number, since it is smaller than the sum of its proper divisors (348076512).

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

142537248 is a wasteful number, since it uses less digits than its factorization.

142537248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4188 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 142537248 is about 11938.8964314127. The cubic root of 142537248 is about 522.3674692675.

The spelling of 142537248 in words is "one hundred forty-two million, five hundred thirty-seven thousand, two hundred forty-eight".