134222486400 has 384 divisors, whose sum is σ = 508165020000. Its totient is φ = 34557788160.

The previous prime is 134222486393. The next prime is 134222486407. The reversal of 134222486400 is 4684222431.

134222486400 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 2 + 2 + 4 + 8 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134222486393) and next prime (134222486407).

It is a tau number, because it is divible by the number of its divisors (384).

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 (134222486407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2478816 + ... + 2532384.

Almost surely, 2^134222486400 is an apocalyptic number.

134222486400 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 134222486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254082510000).

134222486400 is an abundant number, since it is smaller than the sum of its proper divisors (373942533600).

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

134222486400 is a wasteful number, since it uses less digits than its factorization.

134222486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53631 (or 53608 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 134222486400 in words is "one hundred thirty-four billion, two hundred twenty-two million, four hundred eighty-six thousand, four hundred".