152181546806240 has 768 divisors, whose sum is σ = 442376550088704. Its totient is φ = 48372891033600.

The previous prime is 152181546806231. The next prime is 152181546806243. The reversal of 152181546806240 is 42608645181251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152181546806243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34880022299 + ... + 34880026661.

It is an arithmetic number, because the mean of its divisors is an integer number (576011132928).

Almost surely, 2^{152181546806240} is an apocalyptic number.

152181546806240 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 152181546806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221188275044352).

152181546806240 is an abundant number, since it is smaller than the sum of its proper divisors (290195003282464).

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

152181546806240 is a wasteful number, since it uses less digits than its factorization.

152181546806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4903 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 53.

The spelling of 152181546806240 in words is "one hundred fifty-two trillion, one hundred eighty-one billion, five hundred forty-six million, eight hundred six thousand, two hundred forty".