134936156160 has 864 divisors, whose sum is σ = 523926945360. Its totient is φ = 31921274880.

The previous prime is 134936156137. The next prime is 134936156219. The reversal of 134936156160 is 61651639431.

134936156160 is a `hidden beast` number, since 1 + 3 + 493 + 6 + 156 + 1 + 6 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2013972447 + ... + 2013972513.

Almost surely, 2^134936156160 is an apocalyptic number.

134936156160 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 134936156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261963472680).

134936156160 is an abundant number, since it is smaller than the sum of its proper divisors (388990789200).

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

134936156160 is a wasteful number, since it uses less digits than its factorization.

134936156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 134936156160 in words is "one hundred thirty-four billion, nine hundred thirty-six million, one hundred fifty-six thousand, one hundred sixty".