150610000 has 50 divisors (see below), whose sum is σ = 364666082. Its totient is φ = 60240000.

The previous prime is 150609989. The next prime is 150610007. The reversal of 150610000 is 16051.

It can be written as a sum of positive squares in 5 ways, for example, as 38588944 + 112021056 = 6212^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150610007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2470 + ... + 17530.

Almost surely, 2^150610000 is an apocalyptic number.

150610000 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 150610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182333041).

150610000 is an abundant number, since it is smaller than the sum of its proper divisors (214056082).

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

150610000 is an equidigital number, since it uses as much as digits as its factorization.

150610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15089 (or 15068 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 150610000 is about 12272.3265927859. The cubic root of 150610000 is about 532.0485568207.

Adding to 150610000 its reverse (16051), we get a palindrome (150626051).

The spelling of 150610000 in words is "one hundred fifty million, six hundred ten thousand".