134006429040 has 640 divisors, whose sum is σ = 505037389824. Its totient is φ = 28993536000.

The previous prime is 134006429009. The next prime is 134006429071. The reversal of 134006429040 is 40924600431.

It is an interprime number because it is at equal distance from previous prime (134006429009) and next prime (134006429071).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 134006428992 and 134006429010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135222945 + ... + 135223935.

Almost surely, 2^134006429040 is an apocalyptic number.

134006429040 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 134006429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252518694912).

134006429040 is an abundant number, since it is smaller than the sum of its proper divisors (371030960784).

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

134006429040 is a wasteful number, since it uses less digits than its factorization.

134006429040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 134006429040 in words is "one hundred thirty-four billion, six million, four hundred twenty-nine thousand, forty".