13742308125 has 400 divisors, whose sum is σ = 33445793920. Its totient is φ = 5458752000.

The previous prime is 13742308031. The next prime is 13742308141. The reversal of 13742308125 is 52180324731.

13742308125 is a `hidden beast` number, since 137 + 423 + 0 + 81 + 25 = 666.

It is not a de Polignac number, because 13742308125 - 2¹⁸ = 13742045981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13742308125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 87530547 + ... + 87530703.

Almost surely, 2^13742308125 is an apocalyptic number.

13742308125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13742308125 is an abundant number, since it is smaller than the sum of its proper divisors (19703485795).

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

13742308125 is a wasteful number, since it uses less digits than its factorization.

13742308125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13742308125 in words is "thirteen billion, seven hundred forty-two million, three hundred eight thousand, one hundred twenty-five".