13740098292 has 144 divisors (see below), whose sum is σ = 38993572800. Its totient is φ = 4053888000.

The previous prime is 13740098291. The next prime is 13740098347. The reversal of 13740098292 is 29289004731.

13740098292 is a `hidden beast` number, since 137 + 400 + 98 + 29 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740098291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1612042 + ... + 1620542.

It is an arithmetic number, because the mean of its divisors is an integer number (270788700).

Almost surely, 2^13740098292 is an apocalyptic number.

13740098292 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 13740098292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496786400).

13740098292 is an abundant number, since it is smaller than the sum of its proper divisors (25253474508).

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

13740098292 is a wasteful number, since it uses less digits than its factorization.

13740098292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13740098292 in words is "thirteen billion, seven hundred forty million, ninety-eight thousand, two hundred ninety-two".