141588480 has 192 divisors, whose sum is σ = 495331200. Its totient is φ = 34242560.

The previous prime is 141588451. The next prime is 141588481. The reversal of 141588480 is 84885141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141588481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337711 + ... + 338129.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^141588480 is an apocalyptic number.

141588480 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 141588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

141588480 is an abundant number, since it is smaller than the sum of its proper divisors (353742720).

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

141588480 is a wasteful number, since it uses less digits than its factorization.

141588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 141588480 is about 11899.0957639646. The cubic root of 141588480 is about 521.2058799041.

The spelling of 141588480 in words is "one hundred forty-one million, five hundred eighty-eight thousand, four hundred eighty".