137047029637440 has 224 divisors, whose sum is σ = 468721107743616. Its totient is φ = 33725605109760.

The previous prime is 137047029637429. The next prime is 137047029637447. The reversal of 137047029637440 is 44736920740731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137047029637447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45116995 + ... + 48058685.

It is an arithmetic number, because the mean of its divisors is an integer number (2092504945284).

Almost surely, 2^{137047029637440} is an apocalyptic number.

137047029637440 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 137047029637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360553871808).

137047029637440 is an abundant number, since it is smaller than the sum of its proper divisors (331674078106176).

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

137047029637440 is a wasteful number, since it uses less digits than its factorization.

137047029637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945457 (or 2945447 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 57.

The spelling of 137047029637440 in words is "one hundred thirty-seven trillion, forty-seven billion, twenty-nine million, six hundred thirty-seven thousand, four hundred forty".