151680 has 64 divisors (see below), whose sum is σ = 489600. Its totient is φ = 39936.

The previous prime is 151673. The next prime is 151681. The reversal of 151680 is 86151.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (151681) by changing a digit.

151680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1881 + ... + 1959.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2¹⁵¹⁶⁸⁰ is an apocalyptic number.

151680 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 151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

151680 is an abundant number, since it is smaller than the sum of its proper divisors (337920).

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

151680 is an equidigital number, since it uses as much as digits as its factorization.

151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 151680 is about 389.4611662284. The cubic root of 151680 is about 53.3305554109.

It can be divided in two parts, 1516 and 80, that added together give a triangular number (1596 = T₅₆).

The spelling of 151680 in words is "one hundred fifty-one thousand, six hundred eighty".