13458125790 has 96 divisors (see below), whose sum is σ = 38021068800. Its totient is φ = 3290258880.

The previous prime is 13458125789. The next prime is 13458125801. The reversal of 13458125790 is 9752185431.

13458125790 is a `hidden beast` number, since 1 + 3 + 458 + 125 + 79 + 0 = 666.

It is a super-2 number, since 2×13458125790² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73930 + ... + 179949.

It is an arithmetic number, because the mean of its divisors is an integer number (396052800).

Almost surely, 2^13458125790 is an apocalyptic number.

13458125790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13458125790 is an abundant number, since it is smaller than the sum of its proper divisors (24562943010).

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

13458125790 is a wasteful number, since it uses less digits than its factorization.

13458125790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253942 (or 253939 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 13458125790 in words is "thirteen billion, four hundred fifty-eight million, one hundred twenty-five thousand, seven hundred ninety".