150083521632 has 144 divisors (see below), whose sum is σ = 466344103680. Its totient is φ = 45407174400.

The previous prime is 150083521631. The next prime is 150083521663. The reversal of 150083521632 is 236125380051.

150083521632 is a `hidden beast` number, since 1 + 50 + 0 + 83 + 521 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150083521631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1961469 + ... + 2036547.

It is an arithmetic number, because the mean of its divisors is an integer number (3238500720).

Almost surely, 2^150083521632 is an apocalyptic number.

150083521632 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 150083521632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233172051840).

150083521632 is an abundant number, since it is smaller than the sum of its proper divisors (316260582048).

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

150083521632 is a wasteful number, since it uses less digits than its factorization.

150083521632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75737 (or 75726 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 150083521632 in words is "one hundred fifty billion, eighty-three million, five hundred twenty-one thousand, six hundred thirty-two".