151214342400 has 1728 divisors, whose sum is σ = 656957952000. Its totient is φ = 33642086400.

The previous prime is 151214342399. The next prime is 151214342429. The reversal of 151214342400 is 4243412151.

151214342400 is a `hidden beast` number, since 1 + 5 + 1 + 214 + 3 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1914105561 + ... + 1914105639.

It is an arithmetic number, because the mean of its divisors is an integer number (380184000).

Almost surely, 2^151214342400 is an apocalyptic number.

151214342400 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 151214342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328478976000).

151214342400 is an abundant number, since it is smaller than the sum of its proper divisors (505743609600).

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

151214342400 is a wasteful number, since it uses less digits than its factorization.

151214342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 151214342400 its reverse (4243412151), we get a palindrome (155457754551).

The spelling of 151214342400 in words is "one hundred fifty-one billion, two hundred fourteen million, three hundred forty-two thousand, four hundred".