150561000 has 96 divisors (see below), whose sum is σ = 508926600. Its totient is φ = 40147200.

The previous prime is 150560989. The next prime is 150561001. The reversal of 150561000 is 165051.

150561000 is a `hidden beast` number, since 1 + 50 + 5 + 610 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55264356 + 95296644 = 7434^2 + 9762^2 .

It is a super-2 number, since 2×150561000² = 45337229442000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (150561001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 636 + ... + 17364.

Almost surely, 2^150561000 is an apocalyptic number.

150561000 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 150561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254463300).

150561000 is an abundant number, since it is smaller than the sum of its proper divisors (358365600).

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

150561000 is a wasteful number, since it uses less digits than its factorization.

150561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16756 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 150561000 is about 12270.3300689101. The cubic root of 150561000 is about 531.9908510308.

The spelling of 150561000 in words is "one hundred fifty million, five hundred sixty-one thousand".