137375780828000 has 1536 divisors, whose sum is σ = 439464180879360. Its totient is φ = 41385738240000.

The previous prime is 137375780827973. The next prime is 137375780828029. The reversal of 137375780828000 is 828087573731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94157491271 + ... + 94157492729.

It is an arithmetic number, because the mean of its divisors is an integer number (286109492760).

Almost surely, 2^{137375780828000} is an apocalyptic number.

137375780828000 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 137375780828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219732090439680).

137375780828000 is an abundant number, since it is smaller than the sum of its proper divisors (302088400051360).

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

137375780828000 is a wasteful number, since it uses less digits than its factorization.

137375780828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 59.

The spelling of 137375780828000 in words is "one hundred thirty-seven trillion, three hundred seventy-five billion, seven hundred eighty million, eight hundred twenty-eight thousand".