141287952 has 160 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 38707200.

The previous prime is 141287929. The next prime is 141287959. The reversal of 141287952 is 259782141.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 141287952.

It is not an unprimeable number, because it can be changed into a prime (141287959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201202 + ... + 201902.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^141287952 is an apocalyptic number.

141287952 is a gapful number since it is divisible by the number (12) 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 141287952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

141287952 is an abundant number, since it is smaller than the sum of its proper divisors (297433968).

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

141287952 is a wasteful number, since it uses less digits than its factorization.

141287952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 141287952 is about 11886.4608694094. The cubic root of 141287952 is about 520.8368576160.

The spelling of 141287952 in words is "one hundred forty-one million, two hundred eighty-seven thousand, nine hundred fifty-two".