134254502001000 has 1024 divisors, whose sum is σ = 475235588505600. Its totient is φ = 35055732096000.

The previous prime is 134254502000981. The next prime is 134254502001007. The reversal of 134254502001000 is 100205452431.

134254502001000 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 5 + 450 + 200 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134254502001007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 163525580590 + ... + 163525581410.

It is an arithmetic number, because the mean of its divisors is an integer number (464097254400).

Almost surely, 2^{134254502001000} is an apocalyptic number.

134254502001000 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 134254502001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237617794252800).

134254502001000 is an abundant number, since it is smaller than the sum of its proper divisors (340981086504600).

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

134254502001000 is a wasteful number, since it uses less digits than its factorization.

134254502001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 134254502001000 its reverse (100205452431), we get a palindrome (134354707453431).

The spelling of 134254502001000 in words is "one hundred thirty-four trillion, two hundred fifty-four billion, five hundred two million, one thousand".