150561540 has 72 divisors (see below), whose sum is σ = 458115840. Its totient is φ = 40025664.

The previous prime is 150561517. The next prime is 150561563. The reversal of 150561540 is 45165051.

It is a happy number.

150561540 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 615 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (150561517) and next prime (150561563).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67117 + ... + 69323.

It is an arithmetic number, because the mean of its divisors is an integer number (6362720).

Almost surely, 2^150561540 is an apocalyptic number.

150561540 is a gapful number since it is divisible by the number (10) 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 150561540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229057920).

150561540 is an abundant number, since it is smaller than the sum of its proper divisors (307554300).

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

150561540 is a wasteful number, since it uses less digits than its factorization.

150561540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 150561540 is about 12270.3520731884. The cubic root of 150561540 is about 531.9914870404.

The spelling of 150561540 in words is "one hundred fifty million, five hundred sixty-one thousand, five hundred forty".