134964900 has 288 divisors, whose sum is σ = 511911680. Its totient is φ = 29859840.

The previous prime is 134964899. The next prime is 134964901. The reversal of 134964900 is 9469431.

134964900 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 649 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134964899) and next prime (134964901).

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

It is not an unprimeable number, because it can be changed into a prime (134964901) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 699204 + ... + 699396.

Almost surely, 2^134964900 is an apocalyptic number.

134964900 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 134964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255955840).

134964900 is an abundant number, since it is smaller than the sum of its proper divisors (376946780).

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

134964900 is a wasteful number, since it uses less digits than its factorization.

134964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 134964900 is about 11617.4394769243. The cubic root of 134964900 is about 512.9483207747.

The spelling of 134964900 in words is "one hundred thirty-four million, nine hundred sixty-four thousand, nine hundred".