150865920 has 144 divisors (see below), whose sum is σ = 523193580. Its totient is φ = 40206336.

The previous prime is 150865903. The next prime is 150865921. The reversal of 150865920 is 29568051.

It is a happy number.

150865920 is a `hidden beast` number, since 1 + 508 + 65 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130507776 + 20358144 = 11424^2 + 4512^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (150865921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91342 + ... + 92978.

Almost surely, 2^150865920 is an apocalyptic number.

150865920 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 150865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261596790).

150865920 is an abundant number, since it is smaller than the sum of its proper divisors (372327660).

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

150865920 is a wasteful number, since it uses less digits than its factorization.

150865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 150865920 is about 12282.7488779996. The cubic root of 150865920 is about 532.3497427009.

The spelling of 150865920 in words is "one hundred fifty million, eight hundred sixty-five thousand, nine hundred twenty".