141272352 has 144 divisors (see below), whose sum is σ = 438230520. Its totient is φ = 42909696.

The previous prime is 141272317. The next prime is 141272357. The reversal of 141272352 is 253272141.

141272352 is a `hidden beast` number, since 1 + 41 + 272 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75272976 + 65999376 = 8676^2 + 8124^2 .

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

It is a super-2 number, since 2×141272352² = 39915754879223808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141272357) 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 23 ways as a sum of consecutive naturals, for example, 362974 + ... + 363362.

Almost surely, 2^141272352 is an apocalyptic number.

141272352 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 141272352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219115260).

141272352 is an abundant number, since it is smaller than the sum of its proper divisors (296958168).

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

141272352 is a wasteful number, since it uses less digits than its factorization.

141272352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 141272352 is about 11885.8046425137. The cubic root of 141272352 is about 520.8176878898.

The spelling of 141272352 in words is "one hundred forty-one million, two hundred seventy-two thousand, three hundred fifty-two".