150243402400 has 576 divisors, whose sum is σ = 484816969728. Its totient is φ = 44112936960.

The previous prime is 150243402371. The next prime is 150243402403. The reversal of 150243402400 is 4204342051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (150243402403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90343969 + ... + 90345631.

It is an arithmetic number, because the mean of its divisors is an integer number (841696128).

Almost surely, 2^150243402400 is an apocalyptic number.

150243402400 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 150243402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242408484864).

150243402400 is an abundant number, since it is smaller than the sum of its proper divisors (334573567328).

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

150243402400 is a wasteful number, since it uses less digits than its factorization.

150243402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 150243402400 its reverse (4204342051), we get a palindrome (154447744451).

The spelling of 150243402400 in words is "one hundred fifty billion, two hundred forty-three million, four hundred two thousand, four hundred".