150983800 has 144 divisors (see below), whose sum is σ = 409661280. Its totient is φ = 51532800.

The previous prime is 150983797. The next prime is 150983801. The reversal of 150983800 is 8389051.

It is a super-2 number, since 2×150983800² = 45592215724880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150983801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 411217 + ... + 411583.

It is an arithmetic number, because the mean of its divisors is an integer number (2844870).

Almost surely, 2^150983800 is an apocalyptic number.

150983800 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 150983800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204830640).

150983800 is an abundant number, since it is smaller than the sum of its proper divisors (258677480).

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

150983800 is a wasteful number, since it uses less digits than its factorization.

150983800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 150983800 is about 12287.5465411123. The cubic root of 150983800 is about 532.4883581694.

The spelling of 150983800 in words is "one hundred fifty million, nine hundred eighty-three thousand, eight hundred".