150608640 has 288 divisors, whose sum is σ = 593381376. Its totient is φ = 31703040.

The previous prime is 150608609. The next prime is 150608663. The reversal of 150608640 is 46806051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150608598 and 150608607.

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 31 ways as a sum of consecutive naturals, for example, 349225 + ... + 349655.

It is an arithmetic number, because the mean of its divisors is an integer number (2060352).

Almost surely, 2^150608640 is an apocalyptic number.

150608640 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 150608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296690688).

150608640 is an abundant number, since it is smaller than the sum of its proper divisors (442772736).

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

150608640 is a wasteful number, since it uses less digits than its factorization.

150608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 150608640 is about 12272.2711834444. The cubic root of 150608640 is about 532.0469553595.

The spelling of 150608640 in words is "one hundred fifty million, six hundred eight thousand, six hundred forty".