134939200 has 252 divisors, whose sum is σ = 395857476. Its totient is φ = 45056000.

The previous prime is 134939191. The next prime is 134939201. The reversal of 134939200 is 2939431.

It can be written as a sum of positive squares in 6 ways, for example, as 10036224 + 124902976 = 3168^2 + 11176^2 .

It is a super-3 number, since 3×134939200³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (134939201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3291180 + ... + 3291220.

It is an arithmetic number, because the mean of its divisors is an integer number (1570863).

Almost surely, 2^134939200 is an apocalyptic number.

134939200 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 134939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197928738).

134939200 is an abundant number, since it is smaller than the sum of its proper divisors (260918276).

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

134939200 is a wasteful number, since it uses less digits than its factorization.

134939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 134939200 is about 11616.3333285508. Note that the first 4 decimals coincide. The cubic root of 134939200 is about 512.9157601887.

The spelling of 134939200 in words is "one hundred thirty-four million, nine hundred thirty-nine thousand, two hundred".