134198442000 has 1920 divisors, whose sum is σ = 611837411328. Its totient is φ = 26707968000.

The previous prime is 134198441977. The next prime is 134198442067. The reversal of 134198442000 is 244891431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2855285977 + ... + 2855286023.

Almost surely, 2^134198442000 is an apocalyptic number.

134198442000 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 134198442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305918705664).

134198442000 is an abundant number, since it is smaller than the sum of its proper divisors (477638969328).

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

134198442000 is a wasteful number, since it uses less digits than its factorization.

134198442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 134198442000 in words is "one hundred thirty-four billion, one hundred ninety-eight million, four hundred forty-two thousand".