151251427800 has 432 divisors, whose sum is σ = 566249851440. Its totient is φ = 36146880000.

The previous prime is 151251427781. The next prime is 151251427807. The reversal of 151251427800 is 8724152151.

It is a happy number.

151251427800 is a `hidden beast` number, since 151 + 2 + 5 + 1 + 427 + 80 + 0 = 666.

151251427800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151251427800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151251427807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15458910 + ... + 15468690.

It is an arithmetic number, because the mean of its divisors is an integer number (1310763545).

Almost surely, 2^151251427800 is an apocalyptic number.

151251427800 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 151251427800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283124925720).

151251427800 is an abundant number, since it is smaller than the sum of its proper divisors (414998423640).

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

151251427800 is a wasteful number, since it uses less digits than its factorization.

151251427800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Adding to 151251427800 its reverse (8724152151), we get a palindrome (159975579951).

The spelling of 151251427800 in words is "one hundred fifty-one billion, two hundred fifty-one million, four hundred twenty-seven thousand, eight hundred".