134592001790400 has 2688 divisors, whose sum is σ = 640822756147200. Its totient is φ = 26645505638400.

The previous prime is 134592001790381. The next prime is 134592001790401. The reversal of 134592001790400 is 4097100295431.

134592001790400 is a `hidden beast` number, since 1 + 3 + 4 + 59 + 20 + 0 + 179 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134592001790401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20121390256 + ... + 20121396944.

Almost surely, 2^{134592001790400} is an apocalyptic number.

134592001790400 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 134592001790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320411378073600).

134592001790400 is an abundant number, since it is smaller than the sum of its proper divisors (506230754356800).

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

134592001790400 is a wasteful number, since it uses less digits than its factorization.

134592001790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 134592001790400 in words is "one hundred thirty-four trillion, five hundred ninety-two billion, one million, seven hundred ninety thousand, four hundred".