150258240 has 560 divisors, whose sum is σ = 637300224. Its totient is φ = 33177600.

The previous prime is 150258217. The next prime is 150258259. The reversal of 150258240 is 42852051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4847025 + ... + 4847055.

Almost surely, 2^150258240 is an apocalyptic number.

150258240 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 150258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318650112).

150258240 is an abundant number, since it is smaller than the sum of its proper divisors (487041984).

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

150258240 is a wasteful number, since it uses less digits than its factorization.

150258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 150258240 is about 12257.9867841338. The cubic root of 150258240 is about 531.6340219450.

The spelling of 150258240 in words is "one hundred fifty million, two hundred fifty-eight thousand, two hundred forty".