150320456 has 128 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 57953280.

The previous prime is 150320453. The next prime is 150320459. The reversal of 150320456 is 654023051.

150320456 = 434² + 435² + ... + 810².

150320456 is digitally balanced in base 2 and base 3, because in such bases 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 (150320453) and next prime (150320459).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (150320453) 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, 762950 + ... + 763146.

It is an arithmetic number, because the mean of its divisors is an integer number (2806650).

Almost surely, 2^150320456 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 150320456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

150320456 is an abundant number, since it is smaller than the sum of its proper divisors (208930744).

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

150320456 is a wasteful number, since it uses less digits than its factorization.

150320456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 150320456 is about 12260.5242954777. The cubic root of 150320456 is about 531.7073880339.

The spelling of 150320456 in words is "one hundred fifty million, three hundred twenty thousand, four hundred fifty-six".