150853632 has 96 divisors (see below), whose sum is σ = 412251840. Its totient is φ = 49029120.

The previous prime is 150853627. The next prime is 150853639. The reversal of 150853632 is 236358051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 150853593 and 150853602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150853639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263907 + ... + 264477.

It is an arithmetic number, because the mean of its divisors is an integer number (4294290).

Almost surely, 2^150853632 is an apocalyptic number.

150853632 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 150853632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206125920).

150853632 is an abundant number, since it is smaller than the sum of its proper divisors (261398208).

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

150853632 is an equidigital number, since it uses as much as digits as its factorization.

150853632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 150853632 is about 12282.2486540535. The cubic root of 150853632 is about 532.3352890473.

The spelling of 150853632 in words is "one hundred fifty million, eight hundred fifty-three thousand, six hundred thirty-two".