150981300 has 144 divisors (see below), whose sum is σ = 489552000. Its totient is φ = 39916800.

The previous prime is 150981227. The next prime is 150981307. The reversal of 150981300 is 3189051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150981307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537160 + ... + 537440.

Almost surely, 2^150981300 is an apocalyptic number.

150981300 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 150981300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244776000).

150981300 is an abundant number, since it is smaller than the sum of its proper divisors (338570700).

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

150981300 is a wasteful number, since it uses less digits than its factorization.

150981300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 150981300 is about 12287.4448116767. Note that the first 3 decimals coincide. The cubic root of 150981300 is about 532.4854191604.

The spelling of 150981300 in words is "one hundred fifty million, nine hundred eighty-one thousand, three hundred".