152518484328000 has 896 divisors, whose sum is σ = 592355494748160. Its totient is φ = 33853536460800.

The previous prime is 152518484327981. The next prime is 152518484328073. The reversal of 152518484328000 is 823484815251.

It is a happy number.

It is a super-2 number, since 2×152518484328000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1249690981 + ... + 1249813019.

Almost surely, 2^{152518484328000} is an apocalyptic number.

152518484328000 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 152518484328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296177747374080).

152518484328000 is an abundant number, since it is smaller than the sum of its proper divisors (439837010420160).

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

152518484328000 is a wasteful number, since it uses less digits than its factorization.

152518484328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122292 (or 122272 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 51.

The spelling of 152518484328000 in words is "one hundred fifty-two trillion, five hundred eighteen billion, four hundred eighty-four million, three hundred twenty-eight thousand".