134217907200 has 990 divisors, whose sum is σ = 539569286784. Its totient is φ = 32951992320.

The previous prime is 134217907199. The next prime is 134217907207. The reversal of 134217907200 is 2709712431.

It is a super-2 number, since 2×134217907200² (a number of 23 digits) contains 22 as substring.

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 (134217907207) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 350438209 + ... + 350438591.

Almost surely, 2^134217907200 is an apocalyptic number.

134217907200 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 134217907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269784643392).

134217907200 is an abundant number, since it is smaller than the sum of its proper divisors (405351379584).

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

134217907200 is a wasteful number, since it uses less digits than its factorization.

134217907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 134217907200 in words is "one hundred thirty-four billion, two hundred seventeen million, nine hundred seven thousand, two hundred".