150647952 has 180 divisors, whose sum is σ = 491508720. Its totient is φ = 39626496.

The previous prime is 150647947. The next prime is 150647969. The reversal of 150647952 is 259746051.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 150647952.

It is an unprimeable number.

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, 397299 + ... + 397677.

It is an arithmetic number, because the mean of its divisors is an integer number (2730604).

Almost surely, 2^150647952 is an apocalyptic number.

150647952 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 150647952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245754360).

150647952 is an abundant number, since it is smaller than the sum of its proper divisors (340860768).

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

150647952 is a wasteful number, since it uses less digits than its factorization.

150647952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 150647952 is about 12273.8727384636. The cubic root of 150647952 is about 532.0932431209.

The spelling of 150647952 in words is "one hundred fifty million, six hundred forty-seven thousand, nine hundred fifty-two".