150511848960 has 320 divisors, whose sum is σ = 533533423104. Its totient is φ = 35888332800.

The previous prime is 150511848947. The next prime is 150511848983. The reversal of 150511848960 is 69848115051.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5138677 + ... + 5167883.

Almost surely, 2^150511848960 is an apocalyptic number.

150511848960 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 150511848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266766711552).

150511848960 is an abundant number, since it is smaller than the sum of its proper divisors (383021574144).

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

150511848960 is a wasteful number, since it uses less digits than its factorization.

150511848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29305 (or 29289 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 150511848960 in words is "one hundred fifty billion, five hundred eleven million, eight hundred forty-eight thousand, nine hundred sixty".