134967361536 has 1024 divisors, whose sum is σ = 510019584000. Its totient is φ = 34398535680.

The previous prime is 134967361493. The next prime is 134967361559. The reversal of 134967361536 is 635163769431.

134967361536 is a `hidden beast` number, since 1 + 3 + 49 + 6 + 7 + 3 + 61 + 536 = 666.

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 (54).

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, 3647766510 + ... + 3647766546.

It is an arithmetic number, because the mean of its divisors is an integer number (498066000).

Almost surely, 2^134967361536 is an apocalyptic number.

134967361536 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 134967361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255009792000).

134967361536 is an abundant number, since it is smaller than the sum of its proper divisors (375052222464).

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

134967361536 is an equidigital number, since it uses as much as digits as its factorization.

134967361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 134967361536 in words is "one hundred thirty-four billion, nine hundred sixty-seven million, three hundred sixty-one thousand, five hundred thirty-six".