151310400 has 168 divisors, whose sum is σ = 514014720. Its totient is φ = 38922240.

The previous prime is 151310363. The next prime is 151310407. The reversal of 151310400 is 4013151.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 151310400.

It is not an unprimeable number, because it can be changed into a prime (151310407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138657 + ... + 139743.

Almost surely, 2^151310400 is an apocalyptic number.

151310400 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 151310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257007360).

151310400 is an abundant number, since it is smaller than the sum of its proper divisors (362704320).

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

151310400 is a wasteful number, since it uses less digits than its factorization.

151310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 151310400 is about 12300.8292403399. The cubic root of 151310400 is about 532.8720316720.

Adding to 151310400 its reverse (4013151), we get a palindrome (155323551).

The spelling of 151310400 in words is "one hundred fifty-one million, three hundred ten thousand, four hundred".