134586225144 has 288 divisors, whose sum is σ = 428549940000. Its totient is φ = 38044306944.

The previous prime is 134586225121. The next prime is 134586225181. The reversal of 134586225144 is 441522685431.

134586225144 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 8 + 622 + 5 + 14 + 4 = 666.

It is a super-2 number, since 2×134586225144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134586225144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264412762 + ... + 264413270.

It is an arithmetic number, because the mean of its divisors is an integer number (1488020625).

Almost surely, 2^134586225144 is an apocalyptic number.

134586225144 is a gapful number since it is divisible by the number (14) 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 134586225144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214274970000).

134586225144 is an abundant number, since it is smaller than the sum of its proper divisors (293963714856).

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

134586225144 is a wasteful number, since it uses less digits than its factorization.

134586225144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1173 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 134586225144 in words is "one hundred thirty-four billion, five hundred eighty-six million, two hundred twenty-five thousand, one hundred forty-four".