150414264 has 192 divisors, whose sum is σ = 547223040. Its totient is φ = 36046080.

The previous prime is 150414239. The next prime is 150414289. The reversal of 150414264 is 462414051.

It is an interprime number because it is at equal distance from previous prime (150414239) and next prime (150414289).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71029 + ... + 73115.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2^150414264 is an apocalyptic number.

150414264 is a gapful number since it is divisible by the number (14) 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 150414264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273611520).

150414264 is an abundant number, since it is smaller than the sum of its proper divisors (396808776).

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

150414264 is a wasteful number, since it uses less digits than its factorization.

150414264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 150414264 is about 12264.3493100939. The cubic root of 150414264 is about 531.8179696451.

It can be divided in two parts, 150 and 414264, that added together give a palindrome (414414).

The spelling of 150414264 in words is "one hundred fifty million, four hundred fourteen thousand, two hundred sixty-four".