137628893952 has 216 divisors, whose sum is σ = 441064482768. Its totient is φ = 40918425600.

The previous prime is 137628893929. The next prime is 137628894031. The reversal of 137628893952 is 259398826731.

It is a self number, because there is not a number n which added to its sum of digits gives 137628893952.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1292002 + ... + 1394462.

It is an arithmetic number, because the mean of its divisors is an integer number (2041965198).

Almost surely, 2^137628893952 is an apocalyptic number.

137628893952 is a gapful number since it is divisible by the number (12) 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 137628893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220532241384).

137628893952 is an abundant number, since it is smaller than the sum of its proper divisors (303435588816).

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

137628893952 is a wasteful number, since it uses less digits than its factorization.

137628893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102547 (or 102530 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 137628893952 in words is "one hundred thirty-seven billion, six hundred twenty-eight million, eight hundred ninety-three thousand, nine hundred fifty-two".