150949136 has 40 divisors (see below), whose sum is σ = 320151384. Its totient is φ = 68520960.

The previous prime is 150949133. The next prime is 150949151. The reversal of 150949136 is 631949051.

150949136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9339136 + 141610000 = 3056^2 + 11900^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150949136.

It is not an unprimeable number, because it can be changed into a prime (150949133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6740 + ... + 18636.

Almost surely, 2^150949136 is an apocalyptic number.

150949136 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 150949136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160075692).

150949136 is an abundant number, since it is smaller than the sum of its proper divisors (169202248).

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

150949136 is a wasteful number, since it uses less digits than its factorization.

150949136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11979 (or 11973 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 150949136 is about 12286.1359263196. The cubic root of 150949136 is about 532.4476041520.

The spelling of 150949136 in words is "one hundred fifty million, nine hundred forty-nine thousand, one hundred thirty-six".