134892522018000 has 1600 divisors, whose sum is σ = 531154621071360. Its totient is φ = 32871484800000.

The previous prime is 134892522017989. The next prime is 134892522018017. The reversal of 134892522018000 is 810225298431.

134892522018000 is a `hidden beast` number, since 1 + 3 + 48 + 9 + 2 + 522 + 0 + 1 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×134892522018000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31583355865 + ... + 31583360135.

Almost surely, 2^{134892522018000} is an apocalyptic number.

134892522018000 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 134892522018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265577310535680).

134892522018000 is an abundant number, since it is smaller than the sum of its proper divisors (396262099053360).

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

134892522018000 is a wasteful number, since it uses less digits than its factorization.

134892522018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 134892522018000 in words is "one hundred thirty-four trillion, eight hundred ninety-two billion, five hundred twenty-two million, eighteen thousand".