150261216 has 96 divisors (see below), whose sum is σ = 465389568. Its totient is φ = 41541120.

The previous prime is 150261203. The next prime is 150261263. The reversal of 150261216 is 612162051.

150261216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17226 + ... + 24438.

It is an arithmetic number, because the mean of its divisors is an integer number (4847808).

Almost surely, 2^150261216 is an apocalyptic number.

150261216 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 150261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232694784).

150261216 is an abundant number, since it is smaller than the sum of its proper divisors (315128352).

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

150261216 is a wasteful number, since it uses less digits than its factorization.

150261216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7256 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 150261216 is about 12258.1081737762. The cubic root of 150261216 is about 531.6375317523.

The spelling of 150261216 in words is "one hundred fifty million, two hundred sixty-one thousand, two hundred sixteen".