150893640 has 96 divisors (see below), whose sum is σ = 492219000. Its totient is φ = 40089600.

The previous prime is 150893563. The next prime is 150893651. The reversal of 150893640 is 46398051.

150893640 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 9 + 3 + 640 = 666.

150893640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86155524 + 64738116 = 9282^2 + 8046^2 .

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 = 150893595 and 150893604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125040 + ... + 126240.

Almost surely, 2^150893640 is an apocalyptic number.

150893640 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 150893640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246109500).

150893640 is an abundant number, since it is smaller than the sum of its proper divisors (341325360).

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

150893640 is a wasteful number, since it uses less digits than its factorization.

150893640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150893640 is about 12283.8772380710. The cubic root of 150893640 is about 532.3823452290.

The spelling of 150893640 in words is "one hundred fifty million, eight hundred ninety-three thousand, six hundred forty".