150270120 has 512 divisors, whose sum is σ = 677376000. Its totient is φ = 28615680.

The previous prime is 150270101. The next prime is 150270121. The reversal of 150270120 is 21072051.

It is a super-2 number, since 2×150270120² = 45162217929628800, which contains 22 as substring.

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 = 150270093 and 150270102.

It is not an unprimeable number, because it can be changed into a prime (150270121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1081011 + ... + 1081149.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^150270120 is an apocalyptic number.

150270120 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 150270120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688000).

150270120 is an abundant number, since it is smaller than the sum of its proper divisors (527105880).

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

150270120 is a wasteful number, since it uses less digits than its factorization.

150270120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 150270120 is about 12258.4713565762. The cubic root of 150270120 is about 531.6480325926.

The spelling of 150270120 in words is "one hundred fifty million, two hundred seventy thousand, one hundred twenty".