151712080 has 80 divisors (see below), whose sum is σ = 402255504. Its totient is φ = 52715520.

The previous prime is 151712027. The next prime is 151712081. The reversal of 151712080 is 80217151.

It can be written as a sum of positive squares in 8 ways, for example, as 35331136 + 116380944 = 5944^2 + 10788^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151712081) 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 15 ways as a sum of consecutive naturals, for example, 13390 + ... + 21970.

Almost surely, 2^151712080 is an apocalyptic number.

151712080 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 151712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201127752).

151712080 is an abundant number, since it is smaller than the sum of its proper divisors (250543424).

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

151712080 is a wasteful number, since it uses less digits than its factorization.

151712080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 151712080 is about 12317.1457732707. The cubic root of 151712080 is about 533.3431491249.

The spelling of 151712080 in words is "one hundred fifty-one million, seven hundred twelve thousand, eighty".