150455628288 has 480 divisors, whose sum is σ = 521916595200. Its totient is φ = 40794513408.

The previous prime is 150455628287. The next prime is 150455628289. The reversal of 150455628288 is 882826554051.

150455628288 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 5 + 5 + 628 + 2 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (150455628287) and next prime (150455628289).

It is not an unprimeable number, because it can be changed into a prime (150455628287) 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, 103121703 + ... + 103123161.

It is an arithmetic number, because the mean of its divisors is an integer number (1087326240).

Almost surely, 2^150455628288 is an apocalyptic number.

150455628288 is a gapful number since it is divisible by the number (18) 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 150455628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260958297600).

150455628288 is an abundant number, since it is smaller than the sum of its proper divisors (371460966912).

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

150455628288 is a wasteful number, since it uses less digits than its factorization.

150455628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 150455628288 in words is "one hundred fifty billion, four hundred fifty-five million, six hundred twenty-eight thousand, two hundred eighty-eight".