13134577000 has 32 divisors (see below), whose sum is σ = 30734912520. Its totient is φ = 5253830400.

The previous prime is 13134576989. The next prime is 13134577007. The reversal of 13134577000 is 77543131.

It can be written as a sum of positive squares in 4 ways, for example, as 571305604 + 12563271396 = 23902^2 + 112086^2 .

It is a super-2 number, since 2×13134577000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13134577007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6566289 + ... + 6568288.

Almost surely, 2^13134577000 is an apocalyptic number.

13134577000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134577000 is an abundant number, since it is smaller than the sum of its proper divisors (17600335520).

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

13134577000 is a wasteful number, since it uses less digits than its factorization.

13134577000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13134598 (or 13134584 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The spelling of 13134577000 in words is "thirteen billion, one hundred thirty-four million, five hundred seventy-seven thousand".