137438953440 has 192 divisors, whose sum is σ = 460190009664. Its totient is φ = 34359738368.

The previous prime is 137438953427. The next prime is 137438953441. The reversal of 137438953440 is 44359834731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438953441) by changing a digit.

In principle, a polygon with 137438953440 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2064352 + ... + 2129888.

It is an arithmetic number, because the mean of its divisors is an integer number (2396822967).

Almost surely, 2^137438953440 is an apocalyptic number.

137438953440 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 137438953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230095004832).

137438953440 is an abundant number, since it is smaller than the sum of its proper divisors (322751056224).

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

137438953440 is a wasteful number, since it uses less digits than its factorization.

137438953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65829 (or 65821 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 137438953440 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, nine hundred fifty-three thousand, four hundred forty".