150395940 has 240 divisors, whose sum is σ = 515192832. Its totient is φ = 36578304.

The previous prime is 150395939. The next prime is 150395953. The reversal of 150395940 is 49593051.

150395940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150395895 and 150395904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1184157 + ... + 1184283.

Almost surely, 2^150395940 is an apocalyptic number.

150395940 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 150395940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257596416).

150395940 is an abundant number, since it is smaller than the sum of its proper divisors (364796892).

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

150395940 is a wasteful number, since it uses less digits than its factorization.

150395940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 150395940 is about 12263.6022440391. The cubic root of 150395940 is about 531.7963727833.

The spelling of 150395940 in words is "one hundred fifty million, three hundred ninety-five thousand, nine hundred forty".