150808400 has 30 divisors (see below), whose sum is σ = 362318142. Its totient is φ = 60323200.

The previous prime is 150808363. The next prime is 150808403. The reversal of 150808400 is 4808051.

150808400 is digitally balanced in base 2, 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 53114944 + 97693456 = 7288^2 + 9884^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150808400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150808403) 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, 188111 + ... + 188910.

Almost surely, 2^150808400 is an apocalyptic number.

150808400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150808400 is an abundant number, since it is smaller than the sum of its proper divisors (211509742).

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

150808400 is a wasteful number, since it uses less digits than its factorization.

150808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377039 (or 377028 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 150808400 is about 12280.4071593738. The cubic root of 150808400 is about 532.2820785358.

The spelling of 150808400 in words is "one hundred fifty million, eight hundred eight thousand, four hundred".