151581216 has 48 divisors (see below), whose sum is σ = 400244544. Its totient is φ = 50229504.

The previous prime is 151581191. The next prime is 151581217. The reversal of 151581216 is 612185151.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (151581217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12045 + ... + 21171.

It is an arithmetic number, because the mean of its divisors is an integer number (8338428).

Almost surely, 2^151581216 is an apocalyptic number.

151581216 is a gapful number since it is divisible by the number (16) 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 151581216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200122272).

151581216 is an abundant number, since it is smaller than the sum of its proper divisors (248663328).

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

151581216 is a wasteful number, since it uses less digits than its factorization.

151581216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9305 counting only the distinct ones).

The product of its digits is 2400, while the sum is 30.

The square root of 151581216 is about 12311.8323575331. The cubic root of 151581216 is about 533.1897544061.

The spelling of 151581216 in words is "one hundred fifty-one million, five hundred eighty-one thousand, two hundred sixteen".