150961536 has 288 divisors, whose sum is σ = 516864600. Its totient is φ = 43338240.

The previous prime is 150961529. The next prime is 150961541. The reversal of 150961536 is 635169051.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

150961536 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 615 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 150961536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7945335 + ... + 7945353.

Almost surely, 2^150961536 is an apocalyptic number.

150961536 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 150961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258432300).

150961536 is an abundant number, since it is smaller than the sum of its proper divisors (365903064).

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

150961536 is a wasteful number, since it uses less digits than its factorization.

150961536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 150961536 is about 12286.6405498004. The cubic root of 150961536 is about 532.4621833886.

The spelling of 150961536 in words is "one hundred fifty million, nine hundred sixty-one thousand, five hundred thirty-six".