137750168160 has 576 divisors, whose sum is σ = 535908731904. Its totient is φ = 33136128000.

The previous prime is 137750168147. The next prime is 137750168183. The reversal of 137750168160 is 61861057731.

137750168160 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 501 + 6 + 81 + 60 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58590985 + ... + 58593335.

It is an arithmetic number, because the mean of its divisors is an integer number (930397104).

Almost surely, 2^137750168160 is an apocalyptic number.

137750168160 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 137750168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267954365952).

137750168160 is an abundant number, since it is smaller than the sum of its proper divisors (398158563744).

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

137750168160 is a wasteful number, since it uses less digits than its factorization.

137750168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 137750168160 in words is "one hundred thirty-seven billion, seven hundred fifty million, one hundred sixty-eight thousand, one hundred sixty".