137189238720 has 224 divisors, whose sum is σ = 442240708608. Its totient is φ = 36025638912.

The previous prime is 137189238709. The next prime is 137189238737. The reversal of 137189238720 is 27832981731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62159857 + ... + 62162063.

Almost surely, 2^137189238720 is an apocalyptic number.

137189238720 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 137189238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221120354304).

137189238720 is an abundant number, since it is smaller than the sum of its proper divisors (305051469888).

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

137189238720 is a wasteful number, since it uses less digits than its factorization.

137189238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 137189238720 in words is "one hundred thirty-seven billion, one hundred eighty-nine million, two hundred thirty-eight thousand, seven hundred twenty".