150182640 has 160 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 38294784.

The previous prime is 150182633. The next prime is 150182651. The reversal of 150182640 is 46281051.

150182640 is a `hidden beast` number, since 1 + 5 + 0 + 18 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48169 + ... + 51191.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^150182640 is an apocalyptic number.

150182640 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 150182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

150182640 is an abundant number, since it is smaller than the sum of its proper divisors (389782800).

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

150182640 is a wasteful number, since it uses less digits than its factorization.

150182640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150182640 is about 12254.9026923921. The cubic root of 150182640 is about 531.5448459714.

The spelling of 150182640 in words is "one hundred fifty million, one hundred eighty-two thousand, six hundred forty".