150812153856 has 1536 divisors, whose sum is σ = 610248038400. Its totient is φ = 35672555520.

The previous prime is 150812153831. The next prime is 150812153911. The reversal of 150812153856 is 658351218051.

150812153856 is a `hidden beast` number, since 1 + 50 + 8 + 1 + 215 + 385 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3507259371 + ... + 3507259413.

It is an arithmetic number, because the mean of its divisors is an integer number (397296900).

Almost surely, 2^150812153856 is an apocalyptic number.

150812153856 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 150812153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305124019200).

150812153856 is an abundant number, since it is smaller than the sum of its proper divisors (459435884544).

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

150812153856 is a wasteful number, since it uses less digits than its factorization.

150812153856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 150812153856 in words is "one hundred fifty billion, eight hundred twelve million, one hundred fifty-three thousand, eight hundred fifty-six".