150647120 has 80 divisors (see below), whose sum is σ = 386506512. Its totient is φ = 54251520.

The previous prime is 150647117. The next prime is 150647131. The reversal of 150647120 is 21746051.

It can be written as a sum of positive squares in 8 ways, for example, as 20322064 + 130325056 = 4508^2 + 11416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 150647120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40874 + ... + 44406.

Almost surely, 2^150647120 is an apocalyptic number.

150647120 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 150647120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193253256).

150647120 is an abundant number, since it is smaller than the sum of its proper divisors (235859392).

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

150647120 is a wasteful number, since it uses less digits than its factorization.

150647120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 150647120 is about 12273.8388452839. The cubic root of 150647120 is about 532.0922635691.

The spelling of 150647120 in words is "one hundred fifty million, six hundred forty-seven thousand, one hundred twenty".