151422400 has 168 divisors, whose sum is σ = 416692080. Its totient is φ = 53821440.

The previous prime is 151422377. The next prime is 151422413. The reversal of 151422400 is 4224151.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516654 + ... + 516946.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 2^151422400 is an apocalyptic number.

151422400 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 151422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208346040).

151422400 is an abundant number, since it is smaller than the sum of its proper divisors (265269680).

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

151422400 is a wasteful number, since it uses less digits than its factorization.

151422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 151422400 is about 12305.3809368097. The cubic root of 151422400 is about 533.0034765874.

Adding to 151422400 its reverse (4224151), we get a palindrome (155646551).

The spelling of 151422400 in words is "one hundred fifty-one million, four hundred twenty-two thousand, four hundred".