151104200 has 96 divisors (see below), whose sum is σ = 383178600. Its totient is φ = 55080960.

The previous prime is 151104167. The next prime is 151104203. The reversal of 151104200 is 2401151.

It can be written as a sum of positive squares in 12 ways, for example, as 9351364 + 141752836 = 3058^2 + 11906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151104203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231074 + ... + 231726.

Almost surely, 2^151104200 is an apocalyptic number.

151104200 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 151104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191589300).

151104200 is an abundant number, since it is smaller than the sum of its proper divisors (232074400).

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

151104200 is a wasteful number, since it uses less digits than its factorization.

151104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 151104200 is about 12292.4448341247. Note that the first 3 decimals coincide. The cubic root of 151104200 is about 532.6298624549.

Adding to 151104200 its reverse (2401151), we get a palindrome (153505351).

The spelling of 151104200 in words is "one hundred fifty-one million, one hundred four thousand, two hundred".