150171120 has 240 divisors, whose sum is σ = 560356992. Its totient is φ = 35735040.

The previous prime is 150171113. The next prime is 150171137. The reversal of 150171120 is 21171051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 150171093 and 150171102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530499 + ... + 530781.

Almost surely, 2^150171120 is an apocalyptic number.

150171120 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 150171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280178496).

150171120 is an abundant number, since it is smaller than the sum of its proper divisors (410185872).

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

150171120 is a wasteful number, since it uses less digits than its factorization.

150171120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 150171120 is about 12254.4326674065. The cubic root of 150171120 is about 531.5312546242.

The spelling of 150171120 in words is "one hundred fifty million, one hundred seventy-one thousand, one hundred twenty".