151244568400 has 120 divisors (see below), whose sum is σ = 381582255744. Its totient is φ = 57498355200.

The previous prime is 151244568367. The next prime is 151244568413. The reversal of 151244568400 is 4865442151.

151244568400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1392045 + ... + 1496755.

Almost surely, 2^151244568400 is an apocalyptic number.

151244568400 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 151244568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190791127872).

151244568400 is an abundant number, since it is smaller than the sum of its proper divisors (230337687344).

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

151244568400 is a wasteful number, since it uses less digits than its factorization.

151244568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104909 (or 104898 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 151244568400 in words is "one hundred fifty-one billion, two hundred forty-four million, five hundred sixty-eight thousand, four hundred".