151330304000 has 104 divisors (see below), whose sum is σ = 377675608128. Its totient is φ = 60531916800.

The previous prime is 151330303987. The next prime is 151330304003. The reversal of 151330304000 is 403033151.

It is a happy number.

It is a super-4 number, since 4×151330304000⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (151330304003) 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 7 ways as a sum of consecutive naturals, for example, 364217 + ... + 659783.

It is an arithmetic number, because the mean of its divisors is an integer number (3631496232).

Almost surely, 2^151330304000 is an apocalyptic number.

151330304000 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 151330304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188837804064).

151330304000 is an abundant number, since it is smaller than the sum of its proper divisors (226345304128).

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

151330304000 is an frugal number, since it uses more digits than its factorization.

151330304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295606 (or 295574 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 151330304000 its reverse (403033151), we get a palindrome (151733337151).

The spelling of 151330304000 in words is "one hundred fifty-one billion, three hundred thirty million, three hundred four thousand".