134415038400 has 336 divisors, whose sum is σ = 451143160704. Its totient is φ = 35024670720.

The previous prime is 134415038399. The next prime is 134415038423. The reversal of 134415038400 is 4830514431.

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, 71994267 + ... + 71996133.

Almost surely, 2^134415038400 is an apocalyptic number.

134415038400 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 134415038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225571580352).

134415038400 is an abundant number, since it is smaller than the sum of its proper divisors (316728122304).

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

134415038400 is a wasteful number, since it uses less digits than its factorization.

134415038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 134415038400 in words is "one hundred thirty-four billion, four hundred fifteen million, thirty-eight thousand, four hundred".