134353454400 has 504 divisors, whose sum is σ = 537759176448. Its totient is φ = 31518720000.

The previous prime is 134353454393. The next prime is 134353454407. The reversal of 134353454400 is 4454353431.

134353454400 is a `hidden beast` number, since 1 + 34 + 3 + 534 + 54 + 40 + 0 = 666.

134353454400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134353454393) and next prime (134353454407).

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 (134353454407) 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, 4896720 + ... + 4924080.

Almost surely, 2^134353454400 is an apocalyptic number.

134353454400 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 134353454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268879588224).

134353454400 is an abundant number, since it is smaller than the sum of its proper divisors (403405722048).

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

134353454400 is a wasteful number, since it uses less digits than its factorization.

134353454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27431 (or 27413 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 134353454400 in words is "one hundred thirty-four billion, three hundred fifty-three million, four hundred fifty-four thousand, four hundred".