13754129000 has 32 divisors (see below), whose sum is σ = 32184664200. Its totient is φ = 5501651200.

The previous prime is 13754128967. The next prime is 13754129033. The reversal of 13754129000 is 92145731.

It is an interprime number because it is at equal distance from previous prime (13754128967) and next prime (13754129033).

It can be written as a sum of positive squares in 4 ways, for example, as 4298900356 + 9455228644 = 65566^2 + 97238^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6876065 + ... + 6878064.

Almost surely, 2^13754129000 is an apocalyptic number.

13754129000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13754129000 is an abundant number, since it is smaller than the sum of its proper divisors (18430535200).

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

13754129000 is a wasteful number, since it uses less digits than its factorization.

13754129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13754150 (or 13754136 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 13754129000 in words is "thirteen billion, seven hundred fifty-four million, one hundred twenty-nine thousand".