134730086400 has 2592 divisors, whose sum is σ = 663731424720. Its totient is φ = 26754416640.

The previous prime is 134730086377. The next prime is 134730086423. The reversal of 134730086400 is 4680037431.

134730086400 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 3 + 0 + 0 + 8 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134730086377) and next prime (134730086423).

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7925299192 + ... + 7925299208.

Almost surely, 2^134730086400 is an apocalyptic number.

134730086400 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 134730086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331865712360).

134730086400 is an abundant number, since it is smaller than the sum of its proper divisors (529001338320).

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

134730086400 is a wasteful number, since it uses less digits than its factorization.

134730086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 134730086400 in words is "one hundred thirty-four billion, seven hundred thirty million, eighty-six thousand, four hundred".