152841480480 has 288 divisors, whose sum is σ = 586115502336. Its totient is φ = 35986655232.

The previous prime is 152841480461. The next prime is 152841480481. The reversal of 152841480480 is 84084148251.

152841480480 is a `hidden beast` number, since 1 + 5 + 2 + 84 + 14 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (152841480481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253069 + ... + 608051.

It is an arithmetic number, because the mean of its divisors is an integer number (2035123272).

Almost surely, 2^152841480480 is an apocalyptic number.

152841480480 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 152841480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293057751168).

152841480480 is an abundant number, since it is smaller than the sum of its proper divisors (433274021856).

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

152841480480 is a wasteful number, since it uses less digits than its factorization.

152841480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355040 (or 355029 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 152841480480 in words is "one hundred fifty-two billion, eight hundred forty-one million, four hundred eighty thousand, four hundred eighty".