137076120000 has 840 divisors, whose sum is σ = 518598832752. Its totient is φ = 34560000000.

The previous prime is 137076119981. The next prime is 137076120001. The reversal of 137076120000 is 21670731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137076120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 546119875 + ... + 546120125.

Almost surely, 2^137076120000 is an apocalyptic number.

137076120000 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 137076120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259299416376).

137076120000 is an abundant number, since it is smaller than the sum of its proper divisors (381522712752).

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

137076120000 is a wasteful number, since it uses less digits than its factorization.

137076120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 137076120000 its reverse (21670731), we get a palindrome (137097790731).

The spelling of 137076120000 in words is "one hundred thirty-seven billion, seventy-six million, one hundred twenty thousand".