134904766500 has 1296 divisors, whose sum is σ = 551483084880. Its totient is φ = 27636940800.

The previous prime is 134904766499. The next prime is 134904766523. The reversal of 134904766500 is 5667409431.

134904766500 is a `hidden beast` number, since 1 + 3 + 49 + 0 + 47 + 66 + 500 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 101433332196 + 33471434304 = 318486^2 + 182952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1848010464 + ... + 1848010536.

Almost surely, 2^134904766500 is an apocalyptic number.

134904766500 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 134904766500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275741542440).

134904766500 is an abundant number, since it is smaller than the sum of its proper divisors (416578318380).

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

134904766500 is a wasteful number, since it uses less digits than its factorization.

134904766500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 134904766500 in words is "one hundred thirty-four billion, nine hundred four million, seven hundred sixty-six thousand, five hundred".