150513300 has 162 divisors, whose sum is σ = 548960958. Its totient is φ = 34392960.

The previous prime is 150513283. The next prime is 150513347. The reversal of 150513300 is 3315051.

It is a happy number.

150513300 is a `hidden beast` number, since 150 + 513 + 3 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37601424 + 112911876 = 6132^2 + 10626^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 42394 + ... + 45806.

Almost surely, 2^150513300 is an apocalyptic number.

150513300 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 150513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274480479).

150513300 is an abundant number, since it is smaller than the sum of its proper divisors (398447658).

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

150513300 is a wasteful number, since it uses less digits than its factorization.

150513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 150513300 is about 12268.3862019420. The cubic root of 150513300 is about 531.9346641832.

Adding to 150513300 its reverse (3315051), we get a palindrome (153828351).

The spelling of 150513300 in words is "one hundred fifty million, five hundred thirteen thousand, three hundred".