150038784896 has 256 divisors, whose sum is σ = 405259545600. Its totient is φ = 53431418880.

The previous prime is 150038784877. The next prime is 150038784899. The reversal of 150038784896 is 698487830051.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150038784899) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13191500 + ... + 13202868.

It is an arithmetic number, because the mean of its divisors is an integer number (1583045100).

Almost surely, 2^150038784896 is an apocalyptic number.

150038784896 is a gapful number since it is divisible by the number (16) 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 150038784896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202629772800).

150038784896 is an abundant number, since it is smaller than the sum of its proper divisors (255220760704).

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

150038784896 is a wasteful number, since it uses less digits than its factorization.

150038784896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 150038784896 in words is "one hundred fifty billion, thirty-eight million, seven hundred eighty-four thousand, eight hundred ninety-six".