150682752 has 288 divisors, whose sum is σ = 507911040. Its totient is φ = 42746880.

The previous prime is 150682751. The next prime is 150682757. The reversal of 150682752 is 257286051.

It is a happy number.

150682752 is a `hidden beast` number, since 1 + 506 + 82 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (150682751) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3205993 + ... + 3206039.

It is an arithmetic number, because the mean of its divisors is an integer number (1763580).

Almost surely, 2^150682752 is an apocalyptic number.

150682752 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 150682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

150682752 is an abundant number, since it is smaller than the sum of its proper divisors (357228288).

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

150682752 is a wasteful number, since it uses less digits than its factorization.

150682752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 150682752 is about 12275.2903020662. The cubic root of 150682752 is about 532.1342115265.

The spelling of 150682752 in words is "one hundred fifty million, six hundred eighty-two thousand, seven hundred fifty-two".