150040032 has 96 divisors (see below), whose sum is σ = 412648992. Its totient is φ = 47683584.

The previous prime is 150040021. The next prime is 150040043. The reversal of 150040032 is 230040051.

150040032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150040021) and next prime (150040043).

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

It is a super-2 number, since 2×150040032² = 45024022405122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150039993 and 150040020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187858 + ... + 188654.

It is an arithmetic number, because the mean of its divisors is an integer number (4298427).

Almost surely, 2^150040032 is an apocalyptic number.

150040032 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 150040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206324496).

150040032 is an abundant number, since it is smaller than the sum of its proper divisors (262608960).

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

150040032 is a wasteful number, since it uses less digits than its factorization.

150040032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 150040032 is about 12249.0829044464. The cubic root of 150040032 is about 531.3765474402.

Adding to 150040032 its reverse (230040051), we get a palindrome (380080083).

The spelling of 150040032 in words is "one hundred fifty million, forty thousand, thirty-two".