150010400 has 36 divisors (see below), whose sum is σ = 366214842. Its totient is φ = 60003840.

The previous prime is 150010373. The next prime is 150010409. The reversal of 150010400 is 4010051.

150010400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 136142224 + 13868176 = 11668^2 + 3724^2 .

It is not an unprimeable number, because it can be changed into a prime (150010409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92957 + ... + 94556.

Almost surely, 2^150010400 is an apocalyptic number.

150010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150010400 is an abundant number, since it is smaller than the sum of its proper divisors (216204442).

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

150010400 is a wasteful number, since it uses less digits than its factorization.

150010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187533 (or 187520 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 150010400 is about 12247.8732847789. The cubic root of 150010400 is about 531.3415639177.

Adding to 150010400 its reverse (4010051), we get a palindrome (154020451).

The spelling of 150010400 in words is "one hundred fifty million, ten thousand, four hundred".