151822540800 has 1134 divisors, whose sum is σ = 648423297639. Its totient is φ = 33855897600.

The previous prime is 151822540799. The next prime is 151822540811. The reversal of 151822540800 is 8045228151.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

151822540800 is a `hidden beast` number, since 1 + 5 + 18 + 22 + 540 + 80 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 955551744 + 150866989056 = 30912^2 + 388416^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=275520.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 3702988780 + ... + 3702988820.

Almost surely, 2^151822540800 is an apocalyptic number.

151822540800 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 151822540800

151822540800 is an abundant number, since it is smaller than the sum of its proper divisors (496600756839).

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

151822540800 is an equidigital number, since it uses as much as digits as its factorization.

151822540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 151822540800 its reverse (8045228151), we get a palindrome (159867768951).

The spelling of 151822540800 in words is "one hundred fifty-one billion, eight hundred twenty-two million, five hundred forty thousand, eight hundred".