151566800 has 360 divisors, whose sum is σ = 499566240. Its totient is φ = 43545600.

The previous prime is 151566773. The next prime is 151566827. The reversal of 151566800 is 8665151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151566773) and next prime (151566827).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4096382 + ... + 4096418.

It is an arithmetic number, because the mean of its divisors is an integer number (1387684).

Almost surely, 2^151566800 is an apocalyptic number.

151566800 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 151566800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249783120).

151566800 is an abundant number, since it is smaller than the sum of its proper divisors (347999440).

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

151566800 is a wasteful number, since it uses less digits than its factorization.

151566800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 151566800 is about 12311.2468905469. The cubic root of 151566800 is about 533.1728510206.

The spelling of 151566800 in words is "one hundred fifty-one million, five hundred sixty-six thousand, eight hundred".