151222400 has 192 divisors, whose sum is σ = 439644480. Its totient is φ = 50319360.

The previous prime is 151222397. The next prime is 151222411. The reversal of 151222400 is 4222151.

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, 963122 + ... + 963278.

It is an arithmetic number, because the mean of its divisors is an integer number (2289815).

Almost surely, 2^151222400 is an apocalyptic number.

151222400 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 151222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219822240).

151222400 is an abundant number, since it is smaller than the sum of its proper divisors (288422080).

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

151222400 is a wasteful number, since it uses less digits than its factorization.

151222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 151222400 is about 12297.2517254873. The cubic root of 151222400 is about 532.7687080132.

Adding to 151222400 its reverse (4222151), we get a palindrome (155444551).

The spelling of 151222400 in words is "one hundred fifty-one million, two hundred twenty-two thousand, four hundred".