137117155140 has 144 divisors (see below), whose sum is σ = 476563127040. Its totient is φ = 31260384000.

The previous prime is 137117155129. The next prime is 137117155151. The reversal of 137117155140 is 41551711731.

137117155140 is a `hidden beast` number, since 1 + 3 + 71 + 1 + 71 + 5 + 514 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137117155129) and next prime (137117155151).

It is a super-2 number, since 2×137117155140² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 137117155095 and 137117155104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350265 + ... + 630015.

It is an arithmetic number, because the mean of its divisors is an integer number (3309466160).

Almost surely, 2^137117155140 is an apocalyptic number.

137117155140 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 137117155140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238281563520).

137117155140 is an abundant number, since it is smaller than the sum of its proper divisors (339445971900).

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

137117155140 is a wasteful number, since it uses less digits than its factorization.

137117155140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280162 (or 280157 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

Adding to 137117155140 its reverse (41551711731), we get a palindrome (178668866871).

The spelling of 137117155140 in words is "one hundred thirty-seven billion, one hundred seventeen million, one hundred fifty-five thousand, one hundred forty".