150927840 has 576 divisors, whose sum is σ = 661893120. Its totient is φ = 31933440.

The previous prime is 150927839. The next prime is 150927869. The reversal of 150927840 is 48729051.

150927840 is digitally balanced in base 3, 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 = 150927795 and 150927804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4868625 + ... + 4868655.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^150927840 is an apocalyptic number.

150927840 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 150927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

150927840 is an abundant number, since it is smaller than the sum of its proper divisors (510965280).

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

150927840 is a wasteful number, since it uses less digits than its factorization.

150927840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150927840 is about 12285.2692278191. The cubic root of 150927840 is about 532.4225636257.

The spelling of 150927840 in words is "one hundred fifty million, nine hundred twenty-seven thousand, eight hundred forty".