151872400 has 30 divisors (see below), whose sum is σ = 364874402. Its totient is φ = 60748800.

The previous prime is 151872397. The next prime is 151872403. The reversal of 151872400 is 4278151.

It is an interprime number because it is at equal distance from previous prime (151872397) and next prime (151872403).

It can be written as a sum of positive squares in 3 ways, for example, as 51151104 + 100721296 = 7152^2 + 10036^2 .

It is not an unprimeable number, because it can be changed into a prime (151872403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 189441 + ... + 190240.

Almost surely, 2^151872400 is an apocalyptic number.

151872400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151872400 is an abundant number, since it is smaller than the sum of its proper divisors (213002002).

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

151872400 is a wasteful number, since it uses less digits than its factorization.

151872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379699 (or 379688 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 151872400 is about 12323.6520561074. The cubic root of 151872400 is about 533.5309510726.

The spelling of 151872400 in words is "one hundred fifty-one million, eight hundred seventy-two thousand, four hundred".