13157761104 has 120 divisors (see below), whose sum is σ = 37172100992. Its totient is φ = 4344606720.

The previous prime is 13157761103. The next prime is 13157761121. The reversal of 13157761104 is 40116775131.

It is a happy number.

13157761104 is a `hidden beast` number, since 1 + 31 + 5 + 7 + 7 + 611 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13157761103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7530759 + ... + 7532505.

Almost surely, 2^13157761104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13157761104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18586050496).

13157761104 is an abundant number, since it is smaller than the sum of its proper divisors (24014339888).

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

13157761104 is a wasteful number, since it uses less digits than its factorization.

13157761104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 13157761104 in words is "thirteen billion, one hundred fifty-seven million, seven hundred sixty-one thousand, one hundred four".