150315000 has 160 divisors (see below), whose sum is σ = 512835840. Its totient is φ = 36400000.

The previous prime is 150314981. The next prime is 150315013. The reversal of 150315000 is 513051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164545 + ... + 165455.

It is an arithmetic number, because the mean of its divisors is an integer number (3205224).

Almost surely, 2^150315000 is an apocalyptic number.

150315000 is a gapful number since it is divisible by the number (10) 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 150315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256417920).

150315000 is an abundant number, since it is smaller than the sum of its proper divisors (362520840).

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

150315000 is a wasteful number, since it uses less digits than its factorization.

150315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 150315000 is about 12260.3017907391. The cubic root of 150315000 is about 531.7009550425.

Adding to 150315000 its reverse (513051), we get a palindrome (150828051).

The spelling of 150315000 in words is "one hundred fifty million, three hundred fifteen thousand".