150705000 has 240 divisors, whose sum is σ = 542779380. Its totient is φ = 37632000.

The previous prime is 150704999. The next prime is 150705001. The reversal of 150705000 is 507051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150704999) and next prime (150705001).

It can be written as a sum of positive squares in 10 ways, for example, as 5116644 + 145588356 = 2262^2 + 12066^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (150705001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 764902 + ... + 765098.

Almost surely, 2^150705000 is an apocalyptic number.

150705000 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 150705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271389690).

150705000 is an abundant number, since it is smaller than the sum of its proper divisors (392074380).

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

150705000 is a wasteful number, since it uses less digits than its factorization.

150705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 150705000 is about 12276.1964793661. The cubic root of 150705000 is about 532.1603997469.

The spelling of 150705000 in words is "one hundred fifty million, seven hundred five thousand".