134690459904 has 1512 divisors, whose sum is σ = 556235289792. Its totient is φ = 31979888640.

The previous prime is 134690459881. The next prime is 134690459977. The reversal of 134690459904 is 409954096431.

It is a happy number.

134690459904 is a `hidden beast` number, since 1 + 3 + 46 + 9 + 0 + 4 + 599 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1307674317 + ... + 1307674419.

Almost surely, 2^134690459904 is an apocalyptic number.

134690459904 is a gapful number since it is divisible by the number (14) 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 134690459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278117644896).

134690459904 is an abundant number, since it is smaller than the sum of its proper divisors (421544829888).

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

134690459904 is a wasteful number, since it uses less digits than its factorization.

134690459904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 134690459904 in words is "one hundred thirty-four billion, six hundred ninety million, four hundred fifty-nine thousand, nine hundred four".