15150400 has 84 divisors (see below), whose sum is σ = 39543228. Its totient is φ = 5693440.

The previous prime is 15150379. The next prime is 15150409. The reversal of 15150400 is 405151.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 831744 + 14318656 = 912^2 + 3784^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15150409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26922 + ... + 27478.

Almost surely, 2^15150400 is an apocalyptic number.

15150400 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 15150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19771614).

15150400 is an abundant number, since it is smaller than the sum of its proper divisors (24392828).

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

15150400 is a wasteful number, since it uses less digits than its factorization.

15150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 15150400 is about 3892.3514743661. The cubic root of 15150400 is about 247.4427306871.

Adding to 15150400 its reverse (405151), we get a palindrome (15555551).

The spelling of 15150400 in words is "fifteen million, one hundred fifty thousand, four hundred".