151815680 has 80 divisors (see below), whose sum is σ = 375940224. Its totient is φ = 58736640.

The previous prime is 151815647. The next prime is 151815683. The reversal of 151815680 is 86518151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 151815680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151815683) 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 7 ways as a sum of consecutive naturals, for example, 78404 + ... + 80316.

Almost surely, 2^151815680 is an apocalyptic number.

151815680 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 151815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187970112).

151815680 is an abundant number, since it is smaller than the sum of its proper divisors (224124544).

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

151815680 is an equidigital number, since it uses as much as digits as its factorization.

151815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 35.

The square root of 151815680 is about 12321.3505753225. The cubic root of 151815680 is about 533.4645232827.

The spelling of 151815680 in words is "one hundred fifty-one million, eight hundred fifteen thousand, six hundred eighty".