150705312 has 96 divisors (see below), whose sum is σ = 408748032. Its totient is φ = 48593664.

The previous prime is 150705307. The next prime is 150705371. The reversal of 150705312 is 213507051.

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

It is a super-3 number, since 3×150705312³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572893 + ... + 573155.

It is an arithmetic number, because the mean of its divisors is an integer number (4257792).

Almost surely, 2^150705312 is an apocalyptic number.

150705312 is a gapful number since it is divisible by the number (12) 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 150705312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204374016).

150705312 is an abundant number, since it is smaller than the sum of its proper divisors (258042720).

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

150705312 is a wasteful number, since it uses less digits than its factorization.

150705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 150705312 is about 12276.2091868785. The cubic root of 150705312 is about 532.1607669851.

The spelling of 150705312 in words is "one hundred fifty million, seven hundred five thousand, three hundred twelve".