134022021000 has 768 divisors, whose sum is σ = 513055296000. Its totient is φ = 28498176000.

The previous prime is 134022020989. The next prime is 134022021059. The reversal of 134022021000 is 120220431.

It is a super-2 number, since 2×134022021000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 585248886 + ... + 585249114.

It is an arithmetic number, because the mean of its divisors is an integer number (668040750).

Almost surely, 2^134022021000 is an apocalyptic number.

134022021000 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 134022021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256527648000).

134022021000 is an abundant number, since it is smaller than the sum of its proper divisors (379033275000).

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

134022021000 is a wasteful number, since it uses less digits than its factorization.

134022021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 134022021000 its reverse (120220431), we get a palindrome (134142241431).

The spelling of 134022021000 in words is "one hundred thirty-four billion, twenty-two million, twenty-one thousand".