137168156160 has 1280 divisors, whose sum is σ = 601504358400. Its totient is φ = 28928212992.

The previous prime is 137168156149. The next prime is 137168156227. The reversal of 137168156160 is 61651861731.

137168156160 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 6 + 81 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 395297107 + ... + 395297453.

It is an arithmetic number, because the mean of its divisors is an integer number (469925280).

Almost surely, 2^137168156160 is an apocalyptic number.

137168156160 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 137168156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300752179200).

137168156160 is an abundant number, since it is smaller than the sum of its proper divisors (464336202240).

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

137168156160 is a wasteful number, since it uses less digits than its factorization.

137168156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 137168156160 in words is "one hundred thirty-seven billion, one hundred sixty-eight million, one hundred fifty-six thousand, one hundred sixty".