131154677136000 has 3072 divisors, whose sum is σ = 612277211520000. Its totient is φ = 26726547456000.

The previous prime is 131154677135987. The next prime is 131154677136001. The reversal of 131154677136000 is 631776451131.

131154677136000 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 546 + 7 + 71 + 36 + 0 + 0 + 0 = 666.

131154677136000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (131154677136001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15953611890 + ... + 15953620110.

It is an arithmetic number, because the mean of its divisors is an integer number (199308988125).

Almost surely, 2^{131154677136000} is an apocalyptic number.

131154677136000 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 131154677136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306138605760000).

131154677136000 is an abundant number, since it is smaller than the sum of its proper divisors (481122534384000).

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

131154677136000 is a wasteful number, since it uses less digits than its factorization.

131154677136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 131154677136000 in words is "one hundred thirty-one trillion, one hundred fifty-four billion, six hundred seventy-seven million, one hundred thirty-six thousand".