150484408200 has 960 divisors, whose sum is σ = 618558504960. Its totient is φ = 33331979520.

The previous prime is 150484408199. The next prime is 150484408201. The reversal of 150484408200 is 2804484051.

150484408200 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 8 + 440 + 8 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (150484408199) and next prime (150484408201).

It is a super-2 number, since 2×150484408200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (150484408201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1184916537 + ... + 1184916663.

It is an arithmetic number, because the mean of its divisors is an integer number (644331776).

Almost surely, 2^150484408200 is an apocalyptic number.

150484408200 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 150484408200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309279252480).

150484408200 is an abundant number, since it is smaller than the sum of its proper divisors (468074096760).

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

150484408200 is an equidigital number, since it uses as much as digits as its factorization.

150484408200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 150484408200 in words is "one hundred fifty billion, four hundred eighty-four million, four hundred eight thousand, two hundred".