137929016665440 has 6912 divisors, whose sum is σ = 718825341911040. Its totient is φ = 24210656870400.

The previous prime is 137929016665423. The next prime is 137929016665441. The reversal of 137929016665440 is 44566610929731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137929016665441) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 252155423247 + ... + 252155423793.

It is an arithmetic number, because the mean of its divisors is an integer number (103996721920).

Almost surely, 2^{137929016665440} is an apocalyptic number.

137929016665440 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 137929016665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359412670955520).

137929016665440 is an abundant number, since it is smaller than the sum of its proper divisors (580896325245600).

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

137929016665440 is a wasteful number, since it uses less digits than its factorization.

137929016665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 137929016665440 in words is "one hundred thirty-seven trillion, nine hundred twenty-nine billion, sixteen million, six hundred sixty-five thousand, four hundred forty".