151114400 has 72 divisors (see below), whose sum is σ = 376850880. Its totient is φ = 59144960.

The previous prime is 151114361. The next prime is 151114463. The reversal of 151114400 is 4411151.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35591 + ... + 39609.

It is an arithmetic number, because the mean of its divisors is an integer number (5234040).

Almost surely, 2^151114400 is an apocalyptic number.

151114400 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 151114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188425440).

151114400 is an abundant number, since it is smaller than the sum of its proper divisors (225736480).

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

151114400 is a wasteful number, since it uses less digits than its factorization.

151114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 151114400 is about 12292.8597161116. The cubic root of 151114400 is about 532.6418469052.

Adding to 151114400 its reverse (4411151), we get a palindrome (155525551).

The spelling of 151114400 in words is "one hundred fifty-one million, one hundred fourteen thousand, four hundred".