150445152 has 216 divisors, whose sum is σ = 507183768. Its totient is φ = 41932800.

The previous prime is 150445147. The next prime is 150445153. The reversal of 150445152 is 251544051.

150445152 is a `hidden beast` number, since 1 + 504 + 4 + 5 + 152 = 666.

150445152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150445153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535252 + ... + 535532.

It is an arithmetic number, because the mean of its divisors is an integer number (2348073).

Almost surely, 2^150445152 is an apocalyptic number.

150445152 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 150445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253591884).

150445152 is an abundant number, since it is smaller than the sum of its proper divisors (356738616).

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

150445152 is a wasteful number, since it uses less digits than its factorization.

150445152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 150445152 is about 12265.6085050845. The cubic root of 150445152 is about 531.8543706014.

It can be divided in two parts, 1504 and 45152, that added together give a 6-th power (46656 = 6⁶).

The spelling of 150445152 in words is "one hundred fifty million, four hundred forty-five thousand, one hundred fifty-two".