134186502291456 has 1024 divisors, whose sum is σ = 396591228518400. Its totient is φ = 40209481728000.

The previous prime is 134186502291449. The next prime is 134186502291493. The reversal of 134186502291456 is 654192205681431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 134186502291396 and 134186502291405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702547132321 + ... + 702547132511.

It is an arithmetic number, because the mean of its divisors is an integer number (387296121600).

Almost surely, 2^{134186502291456} is an apocalyptic number.

134186502291456 is a gapful number since it is divisible by the number (16) 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 134186502291456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198295614259200).

134186502291456 is an abundant number, since it is smaller than the sum of its proper divisors (262404726226944).

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

134186502291456 is a wasteful number, since it uses less digits than its factorization.

134186502291456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 134186502291456 in words is "one hundred thirty-four trillion, one hundred eighty-six billion, five hundred two million, two hundred ninety-one thousand, four hundred fifty-six".