141624480 has 192 divisors, whose sum is σ = 480090240. Its totient is φ = 34983936.

The previous prime is 141624449. The next prime is 141624521. The reversal of 141624480 is 84426141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483214 + ... + 483506.

It is an arithmetic number, because the mean of its divisors is an integer number (2500470).

Almost surely, 2^141624480 is an apocalyptic number.

141624480 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 141624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240045120).

141624480 is an abundant number, since it is smaller than the sum of its proper divisors (338465760).

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

141624480 is a wasteful number, since it uses less digits than its factorization.

141624480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 141624480 is about 11900.6083878094. The cubic root of 141624480 is about 521.2500497444.

The spelling of 141624480 in words is "one hundred forty-one million, six hundred twenty-four thousand, four hundred eighty".