134255404800 has 648 divisors, whose sum is σ = 541208398640. Its totient is φ = 32541696000.

The previous prime is 134255404783. The next prime is 134255404807. The reversal of 134255404800 is 8404552431.

It is a happy number.

134255404800 is a `hidden beast` number, since 1 + 34 + 2 + 5 + 540 + 4 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134255404807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20905590 + ... + 20912010.

Almost surely, 2^134255404800 is an apocalyptic number.

134255404800 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 134255404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270604199320).

134255404800 is an abundant number, since it is smaller than the sum of its proper divisors (406952993840).

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

134255404800 is a wasteful number, since it uses less digits than its factorization.

134255404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 134255404800 in words is "one hundred thirty-four billion, two hundred fifty-five million, four hundred four thousand, eight hundred".