134985600 has 288 divisors, whose sum is σ = 497382600. Its totient is φ = 34836480.

The previous prime is 134985589. The next prime is 134985649. The reversal of 134985600 is 6589431.

134985600 is a `hidden beast` number, since 1 + 3 + 4 + 98 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×134985600² = 36442224414720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1238346 + ... + 1238454.

Almost surely, 2^134985600 is an apocalyptic number.

134985600 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 134985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248691300).

134985600 is an abundant number, since it is smaller than the sum of its proper divisors (362397000).

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

134985600 is a wasteful number, since it uses less digits than its factorization.

134985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 134985600 is about 11618.3303447612. The cubic root of 134985600 is about 512.9745436110.

The spelling of 134985600 in words is "one hundred thirty-four million, nine hundred eighty-five thousand, six hundred".