151328018400 has 576 divisors, whose sum is σ = 540141428736. Its totient is φ = 36578304000.

The previous prime is 151328018381. The next prime is 151328018419. The reversal of 151328018400 is 4810823151.

It is an interprime number because it is at equal distance from previous prime (151328018381) and next prime (151328018419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 717194295 + ... + 717194505.

It is an arithmetic number, because the mean of its divisors is an integer number (937745536).

Almost surely, 2^151328018400 is an apocalyptic number.

151328018400 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 151328018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270070714368).

151328018400 is an abundant number, since it is smaller than the sum of its proper divisors (388813410336).

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

151328018400 is a wasteful number, since it uses less digits than its factorization.

151328018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 151328018400 in words is "one hundred fifty-one billion, three hundred twenty-eight million, eighteen thousand, four hundred".