141270768 has 120 divisors (see below), whose sum is σ = 407964960. Its totient is φ = 45619200.

The previous prime is 141270763. The next prime is 141270797. The reversal of 141270768 is 867072141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141270763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935493 + ... + 935643.

It is an arithmetic number, because the mean of its divisors is an integer number (3399708).

Almost surely, 2^141270768 is an apocalyptic number.

141270768 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 141270768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203982480).

141270768 is an abundant number, since it is smaller than the sum of its proper divisors (266694192).

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

141270768 is a wasteful number, since it uses less digits than its factorization.

141270768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 141270768 is about 11885.7380082181. The cubic root of 141270768 is about 520.8157413464.

The spelling of 141270768 in words is "one hundred forty-one million, two hundred seventy thousand, seven hundred sixty-eight".