150624466400 has 144 divisors (see below), whose sum is σ = 370622997360. Its totient is φ = 59774668800.

The previous prime is 150624466379. The next prime is 150624466409. The reversal of 150624466400 is 4664426051.

150624466400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150624466409) by changing a digit.

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, 66033260 + ... + 66035540.

It is an arithmetic number, because the mean of its divisors is an integer number (2573770815).

Almost surely, 2^150624466400 is an apocalyptic number.

150624466400 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 150624466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185311498680).

150624466400 is an abundant number, since it is smaller than the sum of its proper divisors (219998530960).

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

150624466400 is a wasteful number, since it uses less digits than its factorization.

150624466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 150624466400 in words is "one hundred fifty billion, six hundred twenty-four million, four hundred sixty-six thousand, four hundred".