150099840 has 384 divisors, whose sum is σ = 595745280. Its totient is φ = 34467840.

The previous prime is 150099839. The next prime is 150099847. The reversal of 150099840 is 48990051.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 150099795 and 150099804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150099847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457229 + ... + 1457331.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420).

Almost surely, 2^150099840 is an apocalyptic number.

150099840 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 150099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297872640).

150099840 is an abundant number, since it is smaller than the sum of its proper divisors (445645440).

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

150099840 is a wasteful number, since it uses less digits than its factorization.

150099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 150099840 is about 12251.5239868353. The cubic root of 150099840 is about 531.4471427037.

The spelling of 150099840 in words is "one hundred fifty million, ninety-nine thousand, eight hundred forty".