150861800 has 48 divisors (see below), whose sum is σ = 355592940. Its totient is φ = 59512320.

The previous prime is 150861769. The next prime is 150861811. The reversal of 150861800 is 8168051.

It can be written as a sum of positive squares in 6 ways, for example, as 77827684 + 73034116 = 8822^2 + 8546^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9434 + ... + 19766.

Almost surely, 2^150861800 is an apocalyptic number.

150861800 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 150861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177796470).

150861800 is an abundant number, since it is smaller than the sum of its proper divisors (204731140).

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

150861800 is a wasteful number, since it uses less digits than its factorization.

150861800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 150861800 is about 12282.5811619545. The cubic root of 150861800 is about 532.3448966741.

The spelling of 150861800 in words is "one hundred fifty million, eight hundred sixty-one thousand, eight hundred".