150083520 has 112 divisors (see below), whose sum is σ = 480657408. Its totient is φ = 39674880.

The previous prime is 150083513. The next prime is 150083539. The reversal of 150083520 is 25380051.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121305 + ... + 122535.

It is an arithmetic number, because the mean of its divisors is an integer number (4291584).

Almost surely, 2^150083520 is an apocalyptic number.

150083520 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 150083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240328704).

150083520 is an abundant number, since it is smaller than the sum of its proper divisors (330573888).

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

150083520 is a wasteful number, since it uses less digits than its factorization.

150083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 150083520 is about 12250.8579291411. The cubic root of 150083520 is about 531.4278810093.

It can be divided in two parts, 15008 and 3520, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 150083520 in words is "one hundred fifty million, eighty-three thousand, five hundred twenty".