151916800 has 108 divisors (see below), whose sum is σ = 429861376. Its totient is φ = 52070400.

The previous prime is 151916797. The next prime is 151916803. The reversal of 151916800 is 8619151.

It is an interprime number because it is at equal distance from previous prime (151916797) and next prime (151916803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151916803) 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 11 ways as a sum of consecutive naturals, for example, 43105 + ... + 46495.

Almost surely, 2^151916800 is an apocalyptic number.

151916800 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 151916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214930688).

151916800 is an abundant number, since it is smaller than the sum of its proper divisors (277944576).

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

151916800 is an equidigital number, since it uses as much as digits as its factorization.

151916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 151916800 is about 12325.4533385186. The cubic root of 151916800 is about 533.5829387195.

The spelling of 151916800 in words is "one hundred fifty-one million, nine hundred sixteen thousand, eight hundred".