141947520 has 384 divisors, whose sum is σ = 546981120. Its totient is φ = 31088640.

The previous prime is 141947483. The next prime is 141947579. The reversal of 141947520 is 25749141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3020137 + ... + 3020183.

It is an arithmetic number, because the mean of its divisors is an integer number (1424430).

Almost surely, 2^141947520 is an apocalyptic number.

141947520 is a gapful number since it is divisible by the number (10) 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 141947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273490560).

141947520 is an abundant number, since it is smaller than the sum of its proper divisors (405033600).

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

141947520 is a wasteful number, since it uses less digits than its factorization.

141947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 141947520 is about 11914.1730724377. The cubic root of 141947520 is about 521.6460659128.

The spelling of 141947520 in words is "one hundred forty-one million, nine hundred forty-seven thousand, five hundred twenty".