89505138150 has 72 divisors (see below), whose sum is σ = 246335655384. Its totient is φ = 23285884800.

The previous prime is 89505138139. The next prime is 89505138157. The reversal of 89505138150 is 5183150598.

89505138150 is a `hidden beast` number, since 8 + 9 + 5 + 0 + 513 + 81 + 50 = 666.

It is a super-2 number, since 2×89505138150² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 89505138096 and 89505138105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89505138157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2407164 + ... + 2444063.

It is an arithmetic number, because the mean of its divisors is an integer number (3421328547).

Almost surely, 2^89505138150 is an apocalyptic number.

89505138150 is an abundant number, since it is smaller than the sum of its proper divisors (156830517234).

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

89505138150 is a wasteful number, since it uses less digits than its factorization.

89505138150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851286 (or 4851278 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 89505138150 in words is "eighty-nine billion, five hundred five million, one hundred thirty-eight thousand, one hundred fifty".