151314400 has 72 divisors (see below), whose sum is σ = 374601024. Its totient is φ = 59673600.

The previous prime is 151314391. The next prime is 151314403. The reversal of 151314400 is 4413151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151314403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57105 + ... + 59695.

It is an arithmetic number, because the mean of its divisors is an integer number (5202792).

Almost surely, 2^151314400 is an apocalyptic number.

151314400 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 151314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187300512).

151314400 is an abundant number, since it is smaller than the sum of its proper divisors (223286624).

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

151314400 is a wasteful number, since it uses less digits than its factorization.

151314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 151314400 is about 12300.9918299298. The cubic root of 151314400 is about 532.8767272500.

Adding to 151314400 its reverse (4413151), we get a palindrome (155727551).

The spelling of 151314400 in words is "one hundred fifty-one million, three hundred fourteen thousand, four hundred".