13155177690 has 48 divisors (see below), whose sum is σ = 34230924000. Its totient is φ = 3505230816.

The previous prime is 13155177689. The next prime is 13155177709. The reversal of 13155177690 is 9677155131.

13155177690 is a `hidden beast` number, since 1 + 3 + 1 + 551 + 7 + 7 + 6 + 90 = 666.

It is a super-2 number, since 2×13155177690² (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 Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55261 + ... + 171359.

It is an arithmetic number, because the mean of its divisors is an integer number (713144250).

Almost surely, 2^13155177690 is an apocalyptic number.

13155177690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13155177690 is an abundant number, since it is smaller than the sum of its proper divisors (21075746310).

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

13155177690 is a wasteful number, since it uses less digits than its factorization.

13155177690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117371 (or 117368 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 13155177690 in words is "thirteen billion, one hundred fifty-five million, one hundred seventy-seven thousand, six hundred ninety".