151820800 has 120 divisors (see below), whose sum is σ = 390069900. Its totient is φ = 58490880.

The previous prime is 151820783. The next prime is 151820807. The reversal of 151820800 is 8028151.

It can be written as a sum of positive squares in 6 ways, for example, as 93083904 + 58736896 = 9648^2 + 7664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (151820807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370996 + ... + 371404.

Almost surely, 2^151820800 is an apocalyptic number.

151820800 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 151820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195034950).

151820800 is an abundant number, since it is smaller than the sum of its proper divisors (238249100).

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

151820800 is an equidigital number, since it uses as much as digits as its factorization.

151820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 151820800 is about 12321.5583430019. The cubic root of 151820800 is about 533.4705202646.

Adding to 151820800 its reverse (8028151), we get a palindrome (159848951).

The spelling of 151820800 in words is "one hundred fifty-one million, eight hundred twenty thousand, eight hundred".