134019249000 has 256 divisors, whose sum is σ = 514634964480. Its totient is φ = 28276531200.

The previous prime is 134019248969. The next prime is 134019249031. The reversal of 134019249000 is 942910431.

It is an interprime number because it is at equal distance from previous prime (134019248969) and next prime (134019249031).

It is a super-2 number, since 2×134019249000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27544 + ... + 518456.

It is an arithmetic number, because the mean of its divisors is an integer number (2010292830).

Almost surely, 2^134019249000 is an apocalyptic number.

134019249000 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 134019249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257317482240).

134019249000 is an abundant number, since it is smaller than the sum of its proper divisors (380615715480).

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

134019249000 is a wasteful number, since it uses less digits than its factorization.

134019249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490957 (or 490943 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 134019249000 in words is "one hundred thirty-four billion, nineteen million, two hundred forty-nine thousand".