151394349600 has 432 divisors, whose sum is σ = 582821962632. Its totient is φ = 36754145280.

The previous prime is 151394349599. The next prime is 151394349629. The reversal of 151394349600 is 6943493151.

151394349600 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 9 + 4 + 34 + 9 + 600 = 666.

151394349600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 12053404944 + 139340944656 = 109788^2 + 373284^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 6821722 + ... + 6843878.

Almost surely, 2^151394349600 is an apocalyptic number.

151394349600 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 151394349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291410981316).

151394349600 is an abundant number, since it is smaller than the sum of its proper divisors (431427613032).

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

151394349600 is a wasteful number, since it uses less digits than its factorization.

151394349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22269 (or 22253 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 151394349600 in words is "one hundred fifty-one billion, three hundred ninety-four million, three hundred forty-nine thousand, six hundred".