150014302400 has 168 divisors, whose sum is σ = 392570238480. Its totient is φ = 56260362240.

The previous prime is 150014302397. The next prime is 150014302409. The reversal of 150014302400 is 4203410051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (150014302409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2923364 + ... + 2974236.

It is an arithmetic number, because the mean of its divisors is an integer number (2336727610).

Almost surely, 2^150014302400 is an apocalyptic number.

150014302400 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 150014302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196285119240).

150014302400 is an abundant number, since it is smaller than the sum of its proper divisors (242555936080).

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

150014302400 is a wasteful number, since it uses less digits than its factorization.

150014302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51011 (or 50996 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 150014302400 its reverse (4203410051), we get a palindrome (154217712451).

The spelling of 150014302400 in words is "one hundred fifty billion, fourteen million, three hundred two thousand, four hundred".