134949184920 has 1024 divisors, whose sum is σ = 535894272000. Its totient is φ = 30485030400.

The previous prime is 134949184907. The next prime is 134949184927. The reversal of 134949184920 is 29481949431.

134949184920 is a `hidden beast` number, since 1 + 3 + 494 + 91 + 8 + 49 + 20 = 666.

It is a super-2 number, since 2×134949184920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134949184927) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2212281690 + ... + 2212281750.

It is an arithmetic number, because the mean of its divisors is an integer number (523334250).

Almost surely, 2^134949184920 is an apocalyptic number.

134949184920 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 134949184920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267947136000).

134949184920 is an abundant number, since it is smaller than the sum of its proper divisors (400945087080).

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

134949184920 is an equidigital number, since it uses as much as digits as its factorization.

134949184920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 134949184920 in words is "one hundred thirty-four billion, nine hundred forty-nine million, one hundred eighty-four thousand, nine hundred twenty".