150065124 has 48 divisors (see below), whose sum is σ = 388266816. Its totient is φ = 44726400.

The previous prime is 150065107. The next prime is 150065131. The reversal of 150065124 is 421560051.

It is a super-3 number, since 3×150065124³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 150065094 and 150065103.

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, 1267 + ... + 17370.

It is an arithmetic number, because the mean of its divisors is an integer number (8088892).

Almost surely, 2^150065124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150065124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194133408).

150065124 is an abundant number, since it is smaller than the sum of its proper divisors (238201692).

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

150065124 is a wasteful number, since it uses less digits than its factorization.

150065124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18716 (or 18714 counting only the distinct ones).

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

The square root of 150065124 is about 12250.1071015726. The cubic root of 150065124 is about 531.4061674400.

The spelling of 150065124 in words is "one hundred fifty million, sixty-five thousand, one hundred twenty-four".