150047802096192 has 1344 divisors, whose sum is σ = 632509543411200. Its totient is φ = 32691667599360.

The previous prime is 150047802096161. The next prime is 150047802096251. The reversal of 150047802096192 is 291690208740051.

It is a happy number.

150047802096192 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 478 + 0 + 20 + 9 + 61 + 92 = 666.

150047802096192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283988034 + ... + 284515902.

It is an arithmetic number, because the mean of its divisors is an integer number (470617219800).

Almost surely, 2^{150047802096192} is an apocalyptic number.

150047802096192 is a gapful number since it is divisible by the number (12) 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 150047802096192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316254771705600).

150047802096192 is an abundant number, since it is smaller than the sum of its proper divisors (482461741315008).

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

150047802096192 is a wasteful number, since it uses less digits than its factorization.

150047802096192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527964 (or 527951 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 150047802096192 in words is "one hundred fifty trillion, forty-seven billion, eight hundred two million, ninety-six thousand, one hundred ninety-two".