150825948 has 96 divisors (see below), whose sum is σ = 440670720. Its totient is φ = 39087360.

The previous prime is 150825947. The next prime is 150825953. The reversal of 150825948 is 849528051.

It is a happy number.

150825948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×150825948³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150825947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63258 + ... + 65598.

It is an arithmetic number, because the mean of its divisors is an integer number (4590320).

Almost surely, 2^150825948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150825948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220335360).

150825948 is an abundant number, since it is smaller than the sum of its proper divisors (289844772).

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

150825948 is a wasteful number, since it uses less digits than its factorization.

150825948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 150825948 is about 12281.1216100159. The cubic root of 150825948 is about 532.3027231057.

The spelling of 150825948 in words is "one hundred fifty million, eight hundred twenty-five thousand, nine hundred forty-eight".