134956800 has 432 divisors, whose sum is σ = 547464960. Its totient is φ = 32256000.

The previous prime is 134956763. The next prime is 134956817. The reversal of 134956800 is 8659431.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900765 + ... + 1900835.

It is an arithmetic number, because the mean of its divisors is an integer number (1267280).

Almost surely, 2^134956800 is an apocalyptic number.

134956800 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 134956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273732480).

134956800 is an abundant number, since it is smaller than the sum of its proper divisors (412508160).

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

134956800 is a wasteful number, since it uses less digits than its factorization.

134956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

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

The square root of 134956800 is about 11617.0908578697. The cubic root of 134956800 is about 512.9380589350.

The spelling of 134956800 in words is "one hundred thirty-four million, nine hundred fifty-six thousand, eight hundred".