150664400 has 60 divisors (see below), whose sum is σ = 364145964. Its totient is φ = 59904000.

The previous prime is 150664379. The next prime is 150664403. The reversal of 150664400 is 4466051.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40246336 + 110418064 = 6344^2 + 10508^2 .

It is a super-2 number, since 2×150664400² = 45399522854720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150664400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150664403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71360 + ... + 73440.

Almost surely, 2^150664400 is an apocalyptic number.

150664400 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 150664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182072982).

150664400 is an abundant number, since it is smaller than the sum of its proper divisors (213481564).

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

150664400 is a wasteful number, since it uses less digits than its factorization.

150664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 150664400 is about 12274.5427613415. The cubic root of 150664400 is about 532.1126073650.

The spelling of 150664400 in words is "one hundred fifty million, six hundred sixty-four thousand, four hundred".