150249120 has 192 divisors, whose sum is σ = 547658496. Its totient is φ = 33914880.

The previous prime is 150249109. The next prime is 150249137. The reversal of 150249120 is 21942051.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 325690 + ... + 326150.

It is an arithmetic number, because the mean of its divisors is an integer number (2852388).

Almost surely, 2^150249120 is an apocalyptic number.

150249120 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 150249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273829248).

150249120 is an abundant number, since it is smaller than the sum of its proper divisors (397409376).

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

150249120 is a wasteful number, since it uses less digits than its factorization.

150249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 150249120 is about 12257.6147761300. The cubic root of 150249120 is about 531.6232657953.

It can be divided in two parts, 1502491 and 20, that added together give a triangular number (1502511 = T₁₇₃₃).

The spelling of 150249120 in words is "one hundred fifty million, two hundred forty-nine thousand, one hundred twenty".