150218640 has 240 divisors, whose sum is σ = 593087040. Its totient is φ = 33592320.

The previous prime is 150218603. The next prime is 150218659. The reversal of 150218640 is 46812051.

150218640 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 18 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102231 + ... + 103689.

It is an arithmetic number, because the mean of its divisors is an integer number (2471196).

Almost surely, 2^150218640 is an apocalyptic number.

150218640 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 150218640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296543520).

150218640 is an abundant number, since it is smaller than the sum of its proper divisors (442868400).

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

150218640 is a wasteful number, since it uses less digits than its factorization.

150218640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150218640 is about 12256.3714042942. The cubic root of 150218640 is about 531.5873144522.

The spelling of 150218640 in words is "one hundred fifty million, two hundred eighteen thousand, six hundred forty".