151532800 has 54 divisors (see below), whose sum is σ = 375083198. Its totient is φ = 60610560.

The previous prime is 151532783. The next prime is 151532803. The reversal of 151532800 is 8235151.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5992704 + 145540096 = 2448^2 + 12064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151532803) 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 5 ways as a sum of consecutive naturals, for example, 5439 + ... + 18238.

Almost surely, 2^151532800 is an apocalyptic number.

151532800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151532800 is an abundant number, since it is smaller than the sum of its proper divisors (223550398).

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

151532800 is an equidigital number, since it uses as much as digits as its factorization.

151532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23703 (or 23684 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 151532800 is about 12309.8659619023. The cubic root of 151532800 is about 533.1329803000.

Adding to 151532800 its reverse (8235151), we get a palindrome (159767951).

The spelling of 151532800 in words is "one hundred fifty-one million, five hundred thirty-two thousand, eight hundred".