151433332000 has 96 divisors (see below), whose sum is σ = 372904786800. Its totient is φ = 60437708800.

The previous prime is 151433331991. The next prime is 151433332033. The reversal of 151433332000 is 233334151.

It can be written as a sum of positive squares in 8 ways, for example, as 1562146576 + 149871185424 = 39524^2 + 387132^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753842 + ... + 1838158.

Almost surely, 2^151433332000 is an apocalyptic number.

151433332000 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 151433332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186452393400).

151433332000 is an abundant number, since it is smaller than the sum of its proper divisors (221471454800).

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

151433332000 is an equidigital number, since it uses as much as digits as its factorization.

151433332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84791 (or 84773 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 151433332000 its reverse (233334151), we get a palindrome (151666666151).

The spelling of 151433332000 in words is "one hundred fifty-one billion, four hundred thirty-three million, three hundred thirty-two thousand".