150743268 has 90 divisors (see below), whose sum is σ = 426872754. Its totient is φ = 46365696.

The previous prime is 150743249. The next prime is 150743279. The reversal of 150743268 is 862347051.

It can be written as a sum of positive squares in 3 ways, for example, as 10036224 + 140707044 = 3168^2 + 11862^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 53380 + ... + 56132.

Almost surely, 2^150743268 is an apocalyptic number.

150743268 is a gapful number since it is divisible by the number (18) 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 150743268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213436377).

150743268 is an abundant number, since it is smaller than the sum of its proper divisors (276129486).

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

150743268 is a wasteful number, since it uses less digits than its factorization.

150743268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 150743268 is about 12277.7550065148. The cubic root of 150743268 is about 532.2054391521.

The spelling of 150743268 in words is "one hundred fifty million, seven hundred forty-three thousand, two hundred sixty-eight".