150647040 has 180 divisors, whose sum is σ = 539413644. Its totient is φ = 40144896.

The previous prime is 150647039. The next prime is 150647053. The reversal of 150647040 is 40746051.

150647040 is a `hidden beast` number, since 15 + 0 + 647 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110502144 + 40144896 = 10512^2 + 6336^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 150646995 and 150647013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102954 + ... + 104406.

Almost surely, 2^150647040 is an apocalyptic number.

150647040 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 150647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269706822).

150647040 is an abundant number, since it is smaller than the sum of its proper divisors (388766604).

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

150647040 is an equidigital number, since it uses as much as digits as its factorization.

150647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 150647040 is about 12273.8355863194. The cubic root of 150647040 is about 532.0921693813.

The spelling of 150647040 in words is "one hundred fifty million, six hundred forty-seven thousand, forty".