137434268160 has 960 divisors, whose sum is σ = 580042374912. Its totient is φ = 30528700416.

The previous prime is 137434268131. The next prime is 137434268171. The reversal of 137434268160 is 61862434731.

137434268160 is a `hidden beast` number, since 1 + 37 + 434 + 26 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161118294 + ... + 161119146.

Almost surely, 2^137434268160 is an apocalyptic number.

137434268160 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 137434268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290021187456).

137434268160 is an abundant number, since it is smaller than the sum of its proper divisors (442608106752).

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

137434268160 is an frugal number, since it uses more digits than its factorization.

137434268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 137434268160 in words is "one hundred thirty-seven billion, four hundred thirty-four million, two hundred sixty-eight thousand, one hundred sixty".