150216264 has 96 divisors (see below), whose sum is σ = 446228640. Its totient is φ = 45273600.

The previous prime is 150216239. The next prime is 150216281. The reversal of 150216264 is 462612051.

150216264 is a `hidden beast` number, since 15 + 0 + 21 + 626 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190479 + ... + 191265.

It is an arithmetic number, because the mean of its divisors is an integer number (4648215).

Almost surely, 2^150216264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150216264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223114320).

150216264 is an abundant number, since it is smaller than the sum of its proper divisors (296012376).

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

150216264 is a wasteful number, since it uses less digits than its factorization.

150216264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150216264 is about 12256.2744747333. The cubic root of 150216264 is about 531.5845117416.

It can be divided in two parts, 1502 and 16264, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 150216264 in words is "one hundred fifty million, two hundred sixteen thousand, two hundred sixty-four".