134477766432 has 384 divisors, whose sum is σ = 407630361600. Its totient is φ = 43113627648.

The previous prime is 134477766421. The next prime is 134477766457. The reversal of 134477766432 is 234667774431.

134477766432 is a `hidden beast` number, since 13 + 4 + 477 + 76 + 64 + 32 = 666.

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 63 ways as a sum of consecutive naturals, for example, 682628158 + ... + 682628354.

It is an arithmetic number, because the mean of its divisors is an integer number (1061537400).

Almost surely, 2^134477766432 is an apocalyptic number.

134477766432 is a gapful number since it is divisible by the number (12) 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 134477766432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203815180800).

134477766432 is an abundant number, since it is smaller than the sum of its proper divisors (273152595168).

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

134477766432 is a wasteful number, since it uses less digits than its factorization.

134477766432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 54.

The spelling of 134477766432 in words is "one hundred thirty-four billion, four hundred seventy-seven million, seven hundred sixty-six thousand, four hundred thirty-two".