150206406600 has 96 divisors (see below), whose sum is σ = 466080704640. Its totient is φ = 40017120000.

The previous prime is 150206406599. The next prime is 150206406653. The reversal of 150206406600 is 6604602051.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518625 + ... + 754575.

It is an arithmetic number, because the mean of its divisors is an integer number (4855007340).

Almost surely, 2^150206406600 is an apocalyptic number.

150206406600 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 150206406600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233040352320).

150206406600 is an abundant number, since it is smaller than the sum of its proper divisors (315874298040).

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

150206406600 is a wasteful number, since it uses less digits than its factorization.

150206406600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237031 (or 237022 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 150206406600 in words is "one hundred fifty billion, two hundred six million, four hundred six thousand, six hundred".