134626800 has 480 divisors, whose sum is σ = 566820864. Its totient is φ = 26496000.

The previous prime is 134626783. The next prime is 134626801. The reversal of 134626800 is 8626431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134626801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2864377 + ... + 2864423.

Almost surely, 2^134626800 is an apocalyptic number.

134626800 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 134626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283410432).

134626800 is an abundant number, since it is smaller than the sum of its proper divisors (432194064).

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

134626800 is a wasteful number, since it uses less digits than its factorization.

134626800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 134626800 is about 11602.8789530875. The cubic root of 134626800 is about 512.5196343856.

The spelling of 134626800 in words is "one hundred thirty-four million, six hundred twenty-six thousand, eight hundred".