151043350400 has 192 divisors, whose sum is σ = 377694576000. Its totient is φ = 59682232320.

The previous prime is 151043350391. The next prime is 151043350411. The reversal of 151043350400 is 4053340151.

It is a self number, because there is not a number n which added to its sum of digits gives 151043350400.

It is a congruent number.

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, 95656811 + ... + 95658389.

It is an arithmetic number, because the mean of its divisors is an integer number (1967159250).

Almost surely, 2^151043350400 is an apocalyptic number.

151043350400 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 151043350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188847288000).

151043350400 is an abundant number, since it is smaller than the sum of its proper divisors (226651225600).

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

151043350400 is a wasteful number, since it uses less digits than its factorization.

151043350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 151043350400 its reverse (4053340151), we get a palindrome (155096690551).

The spelling of 151043350400 in words is "one hundred fifty-one billion, forty-three million, three hundred fifty thousand, four hundred".