151414374400 has 225 divisors, whose sum is σ = 396311384541. Its totient is φ = 57378078720.

The previous prime is 151414374383. The next prime is 151414374401. The reversal of 151414374400 is 4473414151.

The square root of 151414374400 is 389120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54509174784 + 96905199616 = 233472^2 + 311296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151414374401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7969177591 + ... + 7969177609.

Almost surely, 2^151414374400 is an apocalyptic number.

151414374400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151414374400 is a droll number since its even prime factors and its odd prime factors have the same sum.

151414374400 is the 389120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151414374400

151414374400 is an abundant number, since it is smaller than the sum of its proper divisors (244897010141).

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

151414374400 is an frugal number, since it uses more digits than its factorization.

151414374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

Adding to 151414374400 its reverse (4473414151), we get a palindrome (155887788551).

The spelling of 151414374400 in words is "one hundred fifty-one billion, four hundred fourteen million, three hundred seventy-four thousand, four hundred".