137043666432000 has 624 divisors, whose sum is σ = 495718770613248. Its totient is φ = 36419892019200.

The previous prime is 137043666431999. The next prime is 137043666432011. The reversal of 137043666432000 is 234666340731.

It is a super-2 number, since 2×137043666432000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350093249 + ... + 1350194751.

It is an arithmetic number, because the mean of its divisors is an integer number (794421106752).

Almost surely, 2^{137043666432000} is an apocalyptic number.

137043666432000 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 137043666432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247859385306624).

137043666432000 is an abundant number, since it is smaller than the sum of its proper divisors (358675104181248).

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

137043666432000 is a wasteful number, since it uses less digits than its factorization.

137043666432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101841 (or 101806 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 137043666432000 in words is "one hundred thirty-seven trillion, forty-three billion, six hundred sixty-six million, four hundred thirty-two thousand".