151333530400 has 144 divisors (see below), whose sum is σ = 411581860200. Its totient is φ = 53950095360.

The previous prime is 151333530373. The next prime is 151333530427. The reversal of 151333530400 is 4035333151.

It is an interprime number because it is at equal distance from previous prime (151333530373) and next prime (151333530427).

It can be written as a sum of positive squares in 12 ways, for example, as 2587553424 + 148745976976 = 50868^2 + 385676^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50716 + ... + 552484.

Almost surely, 2^151333530400 is an apocalyptic number.

151333530400 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 151333530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205790930100).

151333530400 is an abundant number, since it is smaller than the sum of its proper divisors (260248329800).

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

151333530400 is a wasteful number, since it uses less digits than its factorization.

151333530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501831 (or 501818 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 151333530400 its reverse (4035333151), we get a palindrome (155368863551).

The spelling of 151333530400 in words is "one hundred fifty-one billion, three hundred thirty-three million, five hundred thirty thousand, four hundred".