151122334400 has 84 divisors (see below), whose sum is σ = 378871746192. Its totient is φ = 59308354560.

The previous prime is 151122334381. The next prime is 151122334457. The reversal of 151122334400 is 4433221151.

It is a happy number.

151122334400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 151122334400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 806252 + ... + 975851.

Almost surely, 2^151122334400 is an apocalyptic number.

151122334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151122334400 is an abundant number, since it is smaller than the sum of its proper divisors (227749411792).

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

151122334400 is a wasteful number, since it uses less digits than its factorization.

151122334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782178 (or 1782163 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 151122334400 its reverse (4433221151), we get a palindrome (155555555551).

The spelling of 151122334400 in words is "one hundred fifty-one billion, one hundred twenty-two million, three hundred thirty-four thousand, four hundred".