137101317120 has 704 divisors, whose sum is σ = 520182984960. Its totient is φ = 34124857344.

The previous prime is 137101317109. The next prime is 137101317121. The reversal of 137101317120 is 21713101731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137101317121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533468032 + ... + 533468288.

Almost surely, 2^137101317120 is an apocalyptic number.

137101317120 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 137101317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260091492480).

137101317120 is an abundant number, since it is smaller than the sum of its proper divisors (383081667840).

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

137101317120 is a wasteful number, since it uses less digits than its factorization.

137101317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

Adding to 137101317120 its reverse (21713101731), we get a palindrome (158814418851).

The spelling of 137101317120 in words is "one hundred thirty-seven billion, one hundred one million, three hundred seventeen thousand, one hundred twenty".