137717172 has 60 divisors (see below), whose sum is σ = 372459780. Its totient is φ = 44319744.

The previous prime is 137717147. The next prime is 137717179. The reversal of 137717172 is 271717731.

It can be written as a sum of positive squares in 2 ways, for example, as 115476516 + 22240656 = 10746^2 + 4716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137717179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2068 + ... + 16724.

It is an arithmetic number, because the mean of its divisors is an integer number (6207663).

Almost surely, 2^137717172 is an apocalyptic number.

137717172 is a gapful number since it is divisible by the number (12) 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 137717172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186229890).

137717172 is an abundant number, since it is smaller than the sum of its proper divisors (234742608).

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

137717172 is a wasteful number, since it uses less digits than its factorization.

137717172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14702 (or 14691 counting only the distinct ones).

The product of its digits is 14406, while the sum is 36.

The square root of 137717172 is about 11735.2959911542. The cubic root of 137717172 is about 516.4116509569.

The spelling of 137717172 in words is "one hundred thirty-seven million, seven hundred seventeen thousand, one hundred seventy-two".