13154835165120 has 1008 divisors, whose sum is σ = 50836592207232. Its totient is φ = 3095755407360.

The previous prime is 13154835165119. The next prime is 13154835165139. The reversal of 13154835165120 is 2156153845131.

13154835165120 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 4 + 8 + 3 + 516 + 5 + 120 = 666.

It is a super-2 number, since 2×13154835165120² (a number of 27 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 143 ways as a sum of consecutive naturals, for example, 11311121659 + ... + 11311122821.

Almost surely, 2^{13154835165120} is an apocalyptic number.

13154835165120 is a gapful number since it is divisible by the number (10) 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 13154835165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25418296103616).

13154835165120 is an abundant number, since it is smaller than the sum of its proper divisors (37681757042112).

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

13154835165120 is a wasteful number, since it uses less digits than its factorization.

13154835165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 13154835165120 in words is "thirteen trillion, one hundred fifty-four billion, eight hundred thirty-five million, one hundred sixty-five thousand, one hundred twenty".