137009068014 has 128 divisors (see below), whose sum is σ = 357296873472. Its totient is φ = 33989160960.

The previous prime is 137009068003. The next prime is 137009068051. The reversal of 137009068014 is 410860900731.

It is a super-3 number, since 3×137009068014³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22654339 + ... + 22660385.

It is an arithmetic number, because the mean of its divisors is an integer number (2791381824).

Almost surely, 2^137009068014 is an apocalyptic number.

137009068014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137009068014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178648436736).

137009068014 is an abundant number, since it is smaller than the sum of its proper divisors (220287805458).

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

137009068014 is a wasteful number, since it uses less digits than its factorization.

137009068014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530.

The product of its (nonzero) digits is 36288, while the sum is 39.

Adding to 137009068014 its reverse (410860900731), we get a palindrome (547869968745).

The spelling of 137009068014 in words is "one hundred thirty-seven billion, nine million, sixty-eight thousand, fourteen".