150675840 has 384 divisors, whose sum is σ = 616749120. Its totient is φ = 33177600.

The previous prime is 150675821. The next prime is 150675857. The reversal of 150675840 is 48576051.

150675840 is a `hidden beast` number, since 1 + 506 + 75 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 150675795 and 150675804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491790 + ... + 1491890.

Almost surely, 2^150675840 is an apocalyptic number.

150675840 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 150675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308374560).

150675840 is an abundant number, since it is smaller than the sum of its proper divisors (466073280).

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

150675840 is a wasteful number, since it uses less digits than its factorization.

150675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 150675840 is about 12275.0087576344. The cubic root of 150675840 is about 532.1260748556.

The spelling of 150675840 in words is "one hundred fifty million, six hundred seventy-five thousand, eight hundred forty".